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31395232968 = 23311402729531
BaseRepresentation
bin11101001111010011…
…010011110011001000
310000000222200002012020
4131033103103303020
51003244134423333
622231152444440
72161001035311
oct351723236310
9100028602166
1031395232968
1112350877230
126102249720
132c64464b38
14173b879608
15c3b37b3b3
hex74f4d3cc8

31395232968 has 64 divisors (see below), whose sum is σ = 85647525120. Its totient is φ = 9511022400.

The previous prime is 31395232879. The next prime is 31395233029. The reversal of 31395232968 is 86923259313.

It is a Cunningham number, because it is equal to 1771872-1.

It is a super-2 number, since 2×313952329682 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31395232968.

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, 1048363 + ... + 1077893.

It is an arithmetic number, because the mean of its divisors is an integer number (1338242580).

Almost surely, 231395232968 is an apocalyptic number.

It is an amenable number.

31395232968 is an abundant number, since it is smaller than the sum of its proper divisors (54252292152).

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

31395232968 is a wasteful number, since it uses less digits than its factorization.

31395232968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33578 (or 33574 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The spelling of 31395232968 in words is "thirty-one billion, three hundred ninety-five million, two hundred thirty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 4027 8054 12081 16108 24162 29531 32216 44297 48324 59062 88593 88594 96648 118124 132891 177186 177188 236248 265782 324841 354372 354376 531564 649682 708744 974523 1063128 1299364 1949046 2598728 3898092 7796184 118921337 237842674 356764011 475685348 713528022 951370696 1308134707 1427056044 2616269414 2854112088 3924404121 5232538828 7848808242 10465077656 15697616484 31395232968