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56013463264 = 251132357179
BaseRepresentation
bin110100001010101010…
…011001111011100000
312100120200012202102111
4310022222121323200
51404203421311024
641422054525104
74022031403423
oct641252317340
9170520182374
1056013463264
112183415a000
12aa32966794
135388870805
1429d52459ba
1516cc78ba94
hexd0aa99ee0

56013463264 has 96 divisors (see below), whose sum is σ = 126571818240. Its totient is φ = 24353253760.

The previous prime is 56013463237. The next prime is 56013463301. The reversal of 56013463264 is 46236431065.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 951027 + ... + 1008205.

It is an arithmetic number, because the mean of its divisors is an integer number (1318456440).

Almost surely, 256013463264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56013463264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63285909120).

56013463264 is an abundant number, since it is smaller than the sum of its proper divisors (70558354976).

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

56013463264 is a wasteful number, since it uses less digits than its factorization.

56013463264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57245 (or 57215 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 56013463264 in words is "fifty-six billion, thirteen million, four hundred sixty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 121 176 184 242 253 352 368 484 506 736 968 1012 1331 1936 2024 2662 2783 3872 4048 5324 5566 8096 10648 11132 21296 22264 30613 42592 44528 57179 61226 89056 114358 122452 228716 244904 457432 489808 628969 914864 979616 1257938 1315117 1829728 2515876 2630234 5031752 5260468 6918659 10063504 10520936 13837318 14466287 20127008 21041872 27674636 28932574 42083744 55349272 57865148 76105249 110698544 115730296 152210498 159129157 221397088 231460592 304420996 318258314 462921184 608841992 636516628 1217683984 1273033256 1750420727 2435367968 2546066512 3500841454 5092133024 7001682908 14003365816 28006731632 56013463264