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31115536056 = 233211131299903
BaseRepresentation
bin11100111110101000…
…010110011010111000
32222022111101000011100
4130332220112122320
51002211034123211
622143321531400
72151033456363
oct347650263270
988274330140
1031115536056
11122179aa860
126044643b60
132c1b5253c7
14171266d0da
15c21a2d156
hex73ea166b8

31115536056 has 96 divisors (see below), whose sum is σ = 92634347520. Its totient is φ = 9356942400.

The previous prime is 31115536043. The next prime is 31115536061. The reversal of 31115536056 is 65063551113.

31115536056 is a `hidden beast` number, since 3 + 1 + 115 + 536 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31115536056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46200 + ... + 253703.

It is an arithmetic number, because the mean of its divisors is an integer number (964941120).

Almost surely, 231115536056 is an apocalyptic number.

31115536056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31115536056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46317173760).

31115536056 is an abundant number, since it is smaller than the sum of its proper divisors (61518811464).

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

31115536056 is a wasteful number, since it uses less digits than its factorization.

31115536056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300057 (or 300050 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 31115536056 in words is "thirty-one billion, one hundred fifteen million, five hundred thirty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 131 132 198 262 264 393 396 524 786 792 1048 1179 1441 1572 2358 2882 3144 4323 4716 5764 8646 9432 11528 12969 17292 25938 34584 51876 103752 299903 599806 899709 1199612 1799418 2399224 2699127 3298933 3598836 5398254 6597866 7197672 9896799 10796508 13195732 19793598 21593016 26391464 29690397 39287293 39587196 59380794 78574586 79174392 117861879 118761588 157149172 235723758 237523176 314298344 353585637 432160223 471447516 707171274 864320446 942895032 1296480669 1414342548 1728640892 2592961338 2828685096 3457281784 3889442007 5185922676 7778884014 10371845352 15557768028 31115536056