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31676534145 = 32523611094603
BaseRepresentation
bin11101100000000100…
…011000110110000001
310000202120222122212100
4131200010120312001
51004333143043040
622315122021013
72200655045334
oct354004306601
9100676878770
1031676534145
1112485639a43
1261804a7769
132caa816839
141766d8261b
15c55de4b30
hex760118d81

31676534145 has 96 divisors (see below), whose sum is σ = 58779452160. Its totient is φ = 15745466880.

The previous prime is 31676534137. The next prime is 31676534167. The reversal of 31676534145 is 54143567613.

31676534145 is a `hidden beast` number, since 3 + 1 + 6 + 76 + 534 + 1 + 45 = 666.

It is not a de Polignac number, because 31676534145 - 23 = 31676534137 is a prime.

It is a super-3 number, since 3×316765341453 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 31676534145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6879414 + ... + 6884016.

It is an arithmetic number, because the mean of its divisors is an integer number (612285960).

Almost surely, 231676534145 is an apocalyptic number.

It is an amenable number.

31676534145 is a deficient number, since it is larger than the sum of its proper divisors (27102918015).

31676534145 is a wasteful number, since it uses less digits than its factorization.

31676534145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4807 (or 4804 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 31676534145 in words is "thirty-one billion, six hundred seventy-six million, five hundred thirty-four thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 23 45 61 69 109 115 183 207 305 327 345 545 549 915 981 1035 1403 1635 2507 2745 4209 4603 4905 6649 7015 7521 12535 12627 13809 19947 21045 22563 23015 33245 37605 41427 59841 63135 69045 99735 105869 112815 152927 207135 280783 299205 317607 458781 501727 529345 764635 842349 952821 1376343 1403915 1505181 1588035 2293905 2508635 2527047 4211745 4515543 4764105 6458009 6881715 7525905 11539721 12635235 19374027 22577715 30605347 32290045 34619163 57698605 58122081 91816041 96870135 103857489 153026735 173095815 275448123 290610405 459080205 519287445 703922981 1377240615 2111768943 3519614905 6335306829 10558844715 31676534145