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31394957517 = 32711535991427
BaseRepresentation
bin11101001111010010…
…010000100011001101
310000000222011002100100
4131033102100203031
51003244102120032
622231142521313
72160665510250
oct351722204315
9100028132310
1031394957517
11123506a9290
126102136239
132c64399651
14173b807097
15c3b32497c
hex74f4908cd

31394957517 has 96 divisors (see below), whose sum is σ = 57741465600. Its totient is φ = 15963442560.

The previous prime is 31394957509. The next prime is 31394957521. The reversal of 31394957517 is 71575949313.

31394957517 is a `hidden beast` number, since 3 + 1 + 39 + 4 + 95 + 7 + 517 = 666.

It is not a de Polignac number, because 31394957517 - 23 = 31394957509 is a prime.

Its product of digits (3572100) is a multiple of the sum of its prime divisors (2100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31394957507) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 21999958 + ... + 22001384.

It is an arithmetic number, because the mean of its divisors is an integer number (601473600).

Almost surely, 231394957517 is an apocalyptic number.

It is an amenable number.

31394957517 is a deficient number, since it is larger than the sum of its proper divisors (26346508083).

31394957517 is a wasteful number, since it uses less digits than its factorization.

31394957517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2100 counting only the distinct ones).

The product of its digits is 3572100, while the sum is 54.

The spelling of 31394957517 in words is "thirty-one billion, three hundred ninety-four million, nine hundred fifty-seven thousand, five hundred seventeen".

Divisors: 1 3 7 9 11 21 33 53 63 77 99 159 231 371 477 583 599 693 1113 1427 1749 1797 3339 4081 4193 4281 5247 5391 6589 9989 12243 12579 12843 15697 19767 29967 31747 36729 37737 46123 47091 59301 75631 89901 95241 109879 138369 141273 222229 226893 285723 329637 349217 415107 529417 666687 680679 831941 854773 988911 1047651 1588251 2000061 2444519 2495823 2564319 3142953 4764753 5823587 5983411 7333557 7487469 7692957 9402503 17470761 17950233 22000671 28207509 45302969 52412283 53850699 65817521 84622527 135908907 197452563 317120783 407726721 498332659 592357689 951362349 1494997977 2854087047 3488328613 4484993931 10464985839 31394957517