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56970640512 = 273249453681
BaseRepresentation
bin110101000011101101…
…101111110010000000
312110001101022101202200
4311003231233302000
51413133440444022
642101050313200
74054533311562
oct650355576200
9173041271680
1056970640512
1122185494485
12b05b428800
1354abc66396
142a86407332
15173680ebac
hexd43b6fc80

56970640512 has 48 divisors (see below), whose sum is σ = 163938955830. Its totient is φ = 18990213120.

The previous prime is 56970640471. The next prime is 56970640513. The reversal of 56970640512 is 21504607965.

56970640512 is a `hidden beast` number, since 5 + 6 + 9 + 70 + 64 + 0 + 512 = 666.

56970640512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 53538555456 + 3432085056 = 231384^2 + 58584^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56970640513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24725689 + ... + 24727992.

Almost surely, 256970640512 is an apocalyptic number.

It is an amenable number.

56970640512 is an abundant number, since it is smaller than the sum of its proper divisors (106968315318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56970640512 is a wasteful number, since it uses less digits than its factorization.

56970640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49453701 (or 49453686 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 56970640512 in words is "fifty-six billion, nine hundred seventy million, six hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 49453681 98907362 148361043 197814724 296722086 395629448 445083129 593444172 791258896 890166258 1186888344 1582517792 1780332516 2373776688 3165035584 3560665032 4747553376 6330071168 7121330064 9495106752 14242660128 18990213504 28485320256 56970640512