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56586676356 = 22337192207341
BaseRepresentation
bin110100101100110101…
…000010100010000100
312102001121210222222000
4310230311002202010
51411342142120411
641555012505300
74042161545550
oct645465024204
9172047728860
1056586676356
1121aa8781531
12ab7291b230
13544a54aa62
142a4b418860
151712c67956
hexd2cd42884

56586676356 has 144 divisors (see below), whose sum is σ = 176953956480. Its totient is φ = 15316620480.

The previous prime is 56586676327. The next prime is 56586676361. The reversal of 56586676356 is 65367668565.

56586676356 is a `hidden beast` number, since 565 + 8 + 6 + 6 + 7 + 63 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 56586676293 and 56586676302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169246 + ... + 376586.

It is an arithmetic number, because the mean of its divisors is an integer number (1228846920).

Almost surely, 256586676356 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 56586676356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88476978240).

56586676356 is an abundant number, since it is smaller than the sum of its proper divisors (120367280124).

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

56586676356 is a wasteful number, since it uses less digits than its factorization.

56586676356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207399 (or 207372 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 63.

The spelling of 56586676356 in words is "fifty-six billion, five hundred eighty-six million, six hundred seventy-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 76 84 108 114 126 133 171 189 228 252 266 342 361 378 399 513 532 684 722 756 798 1026 1083 1197 1444 1596 2052 2166 2394 2527 3249 3591 4332 4788 5054 6498 7182 7581 9747 10108 12996 14364 15162 19494 22743 30324 38988 45486 68229 90972 136458 207341 272916 414682 622023 829364 1244046 1451387 1866069 2488092 2902774 3732138 3939479 4354161 5598207 5805548 7464276 7878958 8708322 11196414 11818437 13062483 15757916 17416644 22392828 23636874 26124966 27576353 35455311 39187449 47273748 52249932 55152706 70910622 74850101 78374898 82729059 106365933 110305412 141821244 149700202 156749796 165458118 212731866 224550303 248187177 299400404 330916236 425463732 449100606 496374354 523950707 673650909 744561531 898201212 992748708 1047901414 1347301818 1489123062 1571852121 2020952727 2095802828 2694603636 2978246124 3143704242 4041905454 4715556363 6287408484 8083810908 9431112726 14146669089 18862225452 28293338178 56586676356