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51931313676 = 223311311140557
BaseRepresentation
bin110000010111010110…
…001111011000001100
311222001011221001221000
4300113112033120030
51322323404014201
635505032140300
73515622611604
oct602726173014
9158034831830
1051931313676
1120029966660
12a093837690
134b87c18498
142729029c04
15153e1dad86
hexc1758f60c

51931313676 has 96 divisors (see below), whose sum is σ = 147349762560. Its totient is φ = 15686049600.

The previous prime is 51931313657. The next prime is 51931313683. The reversal of 51931313676 is 67631313915.

51931313676 is a `hidden beast` number, since 519 + 3 + 1 + 31 + 36 + 76 = 666.

It is a super-2 number, since 2×519313136762 (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 299190 + ... + 439746.

It is an arithmetic number, because the mean of its divisors is an integer number (1534893360).

Almost surely, 251931313676 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 51931313676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73674881280).

51931313676 is an abundant number, since it is smaller than the sum of its proper divisors (95418448884).

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

51931313676 is a wasteful number, since it uses less digits than its factorization.

51931313676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140892 (or 140884 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The spelling of 51931313676 in words is "fifty-one billion, nine hundred thirty-one million, three hundred thirteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 311 396 594 622 933 1188 1244 1866 2799 3421 3732 5598 6842 8397 10263 11196 13684 16794 20526 30789 33588 41052 61578 92367 123156 140557 184734 281114 369468 421671 562228 843342 1265013 1546127 1686684 2530026 3092254 3795039 4638381 5060052 6184508 7590078 9276762 13915143 15180156 18553524 27830286 41745429 43713227 55660572 83490858 87426454 131139681 166981716 174852908 262279362 393419043 480845497 524558724 786838086 961690994 1180257129 1442536491 1573676172 1923381988 2360514258 2885072982 4327609473 4721028516 5770145964 8655218946 12982828419 17310437892 25965656838 51931313676