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56101824768 = 283116640841
BaseRepresentation
bin110100001111111011…
…011110100100000000
312100210211110222121210
4310033323132210000
51404344031343033
641434532450120
74024153433223
oct641773364400
9170724428553
1056101824768
112187a021340
12aa58479940
1353a0c6aa22
142a02c875ba
1516d53e2d63
hexd0fede900

56101824768 has 72 divisors (see below), whose sum is σ = 162886572576. Its totient is φ = 17000550400.

The previous prime is 56101824743. The next prime is 56101824781. The reversal of 56101824768 is 86742810165.

56101824768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3311973 + ... + 3328868.

It is an arithmetic number, because the mean of its divisors is an integer number (2262313508).

Almost surely, 256101824768 is an apocalyptic number.

It is an amenable number.

56101824768 is an abundant number, since it is smaller than the sum of its proper divisors (106784747808).

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

56101824768 is a wasteful number, since it uses less digits than its factorization.

56101824768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6640871 (or 6640857 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 56101824768 in words is "fifty-six billion, one hundred one million, eight hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 6640841 13281682 19922523 26563364 39845046 53126728 73049251 79690092 106253456 146098502 159380184 212506912 219147753 292197004 318760368 425013824 438295506 584394008 637520736 850027648 876591012 1168788016 1275041472 1700055296 1753182024 2337576032 2550082944 3506364048 4675152064 5100165888 7012728096 9350304128 14025456192 18700608256 28050912384 56101824768