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31179407712 = 253449723353
BaseRepresentation
bin11101000010011100…
…000000000101100000
32222110221120000121020
4131002130000011200
51002323412021322
622153522525440
72152440410205
oct350234000540
988427500536
1031179407712
111224aa65552
126061b06880
132c2b82969b
14171ad37cac
15c2744805c
hex742700160

31179407712 has 48 divisors (see below), whose sum is σ = 82028343600. Its totient is φ = 10369974272.

The previous prime is 31179407671. The next prime is 31179407731. The reversal of 31179407712 is 21770497113.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×311794077122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318573 + ... + 404780.

It is an arithmetic number, because the mean of its divisors is an integer number (1708923825).

Almost surely, 231179407712 is an apocalyptic number.

31179407712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31179407712 is an abundant number, since it is smaller than the sum of its proper divisors (50848935888).

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

31179407712 is a wasteful number, since it uses less digits than its factorization.

31179407712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723815 (or 723807 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 42.

The spelling of 31179407712 in words is "thirty-one billion, one hundred seventy-nine million, four hundred seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 449 898 1347 1796 2694 3592 5388 7184 10776 14368 21552 43104 723353 1446706 2170059 2893412 4340118 5786824 8680236 11573648 17360472 23147296 34720944 69441888 324785497 649570994 974356491 1299141988 1948712982 2598283976 3897425964 5196567952 7794851928 10393135904 15589703856 31179407712