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56656002256 = 2472312331139
BaseRepresentation
bin110100110000111101…
…011111110011010000
312102020110021010012221
4310300331133303100
51412012414033011
642005530430424
74043663034100
oct646075376320
9172213233187
1056656002256
1122033922067
12ab91b92414
13545ba117b9
142a56703200
151718dad971
hexd30f5fcd0

56656002256 has 60 divisors (see below), whose sum is σ = 131811980160. Its totient is φ = 23497871040.

The previous prime is 56656002253. The next prime is 56656002313. The reversal of 56656002256 is 65220065665.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56656002253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141266 + ... + 1189873.

It is an arithmetic number, because the mean of its divisors is an integer number (2196866336).

Almost surely, 256656002256 is an apocalyptic number.

56656002256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56656002256 is an abundant number, since it is smaller than the sum of its proper divisors (75155977904).

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

56656002256 is a wasteful number, since it uses less digits than its factorization.

56656002256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331192 (or 2331179 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 56656002256 in words is "fifty-six billion, six hundred fifty-six million, two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1736 3038 3472 6076 12152 24304 2331139 4662278 9324556 16317973 18649112 32635946 37298224 65271892 72265309 114225811 130543784 144530618 228451622 261087568 289061236 456903244 505857163 578122472 913806488 1011714326 1156244944 1827612976 2023428652 3541000141 4046857304 7082000282 8093714608 14164000564 28328001128 56656002256