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31639712352 = 253437997021
BaseRepresentation
bin11101011101110111…
…111011001001100000
310000200000200220212020
4131131313323021200
51004244231243402
622311324501440
72200030055223
oct353567731140
9100600626766
1031639712352
111246687a206
1261700aa880
132ca2cc37b1
1417621195ba
15c52a6e8bc
hex75ddfb260

31639712352 has 96 divisors (see below), whose sum is σ = 86062394880. Its totient is φ = 10170800640.

The previous prime is 31639712329. The next prime is 31639712383. The reversal of 31639712352 is 25321793613.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277602 + ... + 374622.

It is an arithmetic number, because the mean of its divisors is an integer number (896483280).

Almost surely, 231639712352 is an apocalyptic number.

31639712352 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 31639712352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43031197440).

31639712352 is an abundant number, since it is smaller than the sum of its proper divisors (54422682528).

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

31639712352 is a wasteful number, since it uses less digits than its factorization.

31639712352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97156 (or 97148 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The spelling of 31639712352 in words is "thirty-one billion, six hundred thirty-nine million, seven hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 79 86 96 129 158 172 237 258 316 344 474 516 632 688 948 1032 1264 1376 1896 2064 2528 3397 3792 4128 6794 7584 10191 13588 20382 27176 40764 54352 81528 97021 108704 163056 194042 291063 326112 388084 582126 776168 1164252 1552336 2328504 3104672 4171903 4657008 7664659 8343806 9314016 12515709 15329318 16687612 22993977 25031418 30658636 33375224 45987954 50062836 61317272 66750448 91975908 100125672 122634544 133500896 183951816 200251344 245269088 329580337 367903632 400502688 659160674 735807264 988741011 1318321348 1977482022 2636642696 3954964044 5273285392 7909928088 10546570784 15819856176 31639712352