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31291640928 = 2533131276467
BaseRepresentation
bin11101001001001000…
…001000110001100000
32222202202202001122000
4131021020020301200
51003041130002203
622213012244000
72155302362562
oct351110106140
988682661560
1031291640928
11122a8351a79
126093610600
132c48b64382
14172bbd1332
15c322174a3
hex749208c60

31291640928 has 96 divisors (see below), whose sum is σ = 91964315520. Its totient is φ = 10350887040.

The previous prime is 31291640923. The next prime is 31291640951. The reversal of 31291640928 is 82904619213.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31291640923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25050 + ... + 251417.

It is an arithmetic number, because the mean of its divisors is an integer number (957961620).

Almost surely, 231291640928 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 31291640928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45982157760).

31291640928 is an abundant number, since it is smaller than the sum of its proper divisors (60672674592).

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

31291640928 is a wasteful number, since it uses less digits than its factorization.

31291640928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276617 (or 276603 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 31291640928 in words is "thirty-one billion, two hundred ninety-one million, six hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 131 144 216 262 288 393 432 524 786 864 1048 1179 1572 2096 2358 3144 3537 4192 4716 6288 7074 9432 12576 14148 18864 28296 37728 56592 113184 276467 552934 829401 1105868 1658802 2211736 2488203 3317604 4423472 4976406 6635208 7464609 8846944 9952812 13270416 14929218 19905624 26540832 29858436 36217177 39811248 59716872 72434354 79622496 108651531 119433744 144868708 217303062 238867488 289737416 325954593 434606124 579474832 651909186 869212248 977863779 1158949664 1303818372 1738424496 1955727558 2607636744 3476848992 3911455116 5215273488 7822910232 10430546976 15645820464 31291640928