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31913136992 = 2511313779043
BaseRepresentation
bin11101101110001010…
…111101001101100000
310001101002012022221202
4131232022331031200
51010324230340432
622354413140332
72206560121502
oct355612751540
9101332168852
1031913136992
1112597152190
12622778a6a8
133017848319
14178a571d72
15c6ba7e462
hex76e2bd360

31913136992 has 96 divisors (see below), whose sum is σ = 72664833024. Its totient is φ = 13658457600.

The previous prime is 31913136977. The next prime is 31913137007. The reversal of 31913136992 is 29963131913.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31913136977) and next prime (31913137007).

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 15 ways as a sum of consecutive naturals, for example, 364223 + ... + 443265.

It is an arithmetic number, because the mean of its divisors is an integer number (756925344).

Almost surely, 231913136992 is an apocalyptic number.

31913136992 is a gapful number since it is divisible by the number (32) 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 31913136992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36332416512).

31913136992 is an abundant number, since it is smaller than the sum of its proper divisors (40751696032).

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

31913136992 is a wasteful number, since it uses less digits than its factorization.

31913136992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79132 (or 79124 counting only the distinct ones).

The product of its digits is 236196, while the sum is 47.

The spelling of 31913136992 in words is "thirty-one billion, nine hundred thirteen million, one hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 37 44 62 74 88 124 148 176 248 296 341 352 407 496 592 682 814 992 1147 1184 1364 1628 2294 2728 3256 4588 5456 6512 9176 10912 12617 13024 18352 25234 36704 50468 79043 100936 158086 201872 316172 403744 632344 869473 1264688 1738946 2450333 2529376 2924591 3477892 4900666 5849182 6955784 9801332 11698364 13911568 19602664 23396728 26953663 27823136 32170501 39205328 46793456 53907326 64341002 78410656 90662321 93586912 107814652 128682004 181324642 215629304 257364008 362649284 431258608 514728016 725298568 862517216 997285531 1029456032 1450597136 1994571062 2901194272 3989142124 7978284248 15956568496 31913136992