64 (number)

← 63 64 65 →
Cardinalsixty-four
Ordinal64th
(sixty-fourth)
Factorization26
Divisors1, 2, 4, 8, 16, 32, 64
Greek numeralΞΔ´
Roman numeralLXIV, lxiv
Binary10000002
Ternary21013
Senary1446
Octal1008
Duodecimal5412
Hexadecimal4016

64 (sixty-four) is the natural number following 63 and preceding 65.

Mathematics

64 is a power of two, an interprime, a superperfect number, an Erdős–Woods number, a square and a cube.

In four dimensions, there are 64 convex uniform polychora aside from two infinite families of duoprisms and antiprismatic prisms, and 64 Bravais lattices.

A chessboard has 64 squares.

In other fields

64 is the atomic number of gadolinium.

See also

References

  1. ↑ Sloane, N. J. A. (ed.). "Sequence A000079 (Powers of 2: a(n) = 2^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "Sequence A024675 (Average of two consecutive odd primes.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2023-11-06.
  3. ↑ Sloane, N. J. A. (ed.). "Sequence A019279 (Superperfect numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ↑ "Sloane's A059756 : Erdős-Woods numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  5. ↑ Brown, Harold; Bülow, Rolf; Neubüser, Joachim; Wondratschek, Hans; Zassenhaus, Hans (1978), Crystallographic groups of four-dimensional space, New York: Wiley-Interscience [John Wiley & Sons], ISBN 978-0-471-03095-9, MR 0484179
  6. ↑ "Gadolinium". Los Alamos National Laboratory. Retrieved 2026-10-24.