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56057657832 = 233211277255523
BaseRepresentation
bin110100001101010010…
…111111100111101000
312100200202101001222100
4310031102333213220
51404301230022312
641430314053400
74023106141521
oct641522774750
9170622331870
1056057657832
11218570a5040
12aa4571a260
135394a75647
1429db06b848
1516d15bb5dc
hexd0d4bf9e8

56057657832 has 96 divisors (see below), whose sum is σ = 166223472480. Its totient is φ = 16925777280.

The previous prime is 56057657813. The next prime is 56057657839. The reversal of 56057657832 is 23875675065.

56057657832 is a `hidden beast` number, since 5 + 60 + 5 + 7 + 6 + 578 + 3 + 2 = 666.

It is a super-2 number, since 2×560576578322 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56057657839) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91623 + ... + 347145.

It is an arithmetic number, because the mean of its divisors is an integer number (1731494505).

Almost surely, 256057657832 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 56057657832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83111736240).

56057657832 is an abundant number, since it is smaller than the sum of its proper divisors (110165814648).

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

56057657832 is a wasteful number, since it uses less digits than its factorization.

56057657832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255823 (or 255816 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 56057657832 in words is "fifty-six billion, fifty-seven million, six hundred fifty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 277 396 554 792 831 1108 1662 2216 2493 3047 3324 4986 6094 6648 9141 9972 12188 18282 19944 24376 27423 36564 54846 73128 109692 219384 255523 511046 766569 1022092 1533138 2044184 2299707 2810753 3066276 4599414 5621506 6132552 8432259 9198828 11243012 16864518 18397656 22486024 25296777 33729036 50593554 67458072 70779871 101187108 141559742 202374216 212339613 283119484 424679226 566238968 637018839 778578581 849358452 1274037678 1557157162 1698716904 2335735743 2548075356 3114314324 4671471486 5096150712 6228628648 7007207229 9342942972 14014414458 18685885944 28028828916 56057657832