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56100005508 = 223177917919447
BaseRepresentation
bin110100001111110100…
…100010011010000100
312100210201001120001210
4310033310202122010
51404343100134013
641434425451420
74024132115241
oct641764423204
9170721046053
1056100005508
1121878a99518
12aa57940b70
1353a0781941
142a029325c8
1516d5183cc3
hexd0fd22684

56100005508 has 96 divisors (see below), whose sum is σ = 141145804800. Its totient is φ = 17279248896.

The previous prime is 56100005501. The next prime is 56100005531. The reversal of 56100005508 is 80550000165.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56100005501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2875041 + ... + 2894487.

It is an arithmetic number, because the mean of its divisors is an integer number (1470268800).

Almost surely, 256100005508 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 56100005508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70572902400).

56100005508 is an abundant number, since it is smaller than the sum of its proper divisors (85045799292).

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

56100005508 is a wasteful number, since it uses less digits than its factorization.

56100005508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19729 (or 19727 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 56100005508 in words is "fifty-six billion, one hundred million, five thousand, five hundred eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 179 204 237 316 358 474 537 716 948 1074 1343 2148 2686 3043 4029 5372 6086 8058 9129 12172 14141 16116 18258 19447 28282 36516 38894 42423 56564 58341 77788 84846 116682 169692 233364 240397 330599 480794 661198 721191 961588 991797 1322396 1442382 1536313 1983594 2884764 3072626 3481013 3967188 4608939 6145252 6962026 9217878 10443039 13924052 18435756 20886078 26117321 41772156 52234642 59177221 78351963 104469284 118354442 156703926 177531663 236708884 275000027 313407852 355063326 550000054 710126652 825000081 1100000108 1650000162 3300000324 4675000459 9350000918 14025001377 18700001836 28050002754 56100005508