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12931598664 = 23321931304933
BaseRepresentation
bin11000000101100100…
…01000100101001000
31020101020002021110200
430002302020211020
5202440442124124
65535105012200
7635312526555
oct140262104510
936336067420
1012931598664
115536606526
12260a924060
1312b1172a3a
148a9641a2c
1550a43ebc9
hex302c88948

12931598664 has 96 divisors (see below), whose sum is σ = 38055763200. Its totient is φ = 3951918720.

The previous prime is 12931598653. The next prime is 12931598671. The reversal of 12931598664 is 46689513921.

12931598664 is a `hidden beast` number, since 12 + 9 + 31 + 598 + 6 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12931598664.

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 23 ways as a sum of consecutive naturals, for example, 110059 + ... + 194874.

It is an arithmetic number, because the mean of its divisors is an integer number (396414200).

Almost surely, 212931598664 is an apocalyptic number.

It is an amenable number.

12931598664 is an abundant number, since it is smaller than the sum of its proper divisors (25124164536).

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

12931598664 is a wasteful number, since it uses less digits than its factorization.

12931598664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304995 (or 304988 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 12931598664 in words is "twelve billion, nine hundred thirty-one million, five hundred ninety-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 456 558 589 684 744 1116 1178 1368 1767 2232 2356 3534 4712 5301 7068 10602 14136 21204 42408 304933 609866 914799 1219732 1829598 2439464 2744397 3659196 5488794 5793727 7318392 9452923 10977588 11587454 17381181 18905846 21955176 23174908 28358769 34762362 37811692 46349816 52143543 56717538 69524724 75623384 85076307 104287086 113435076 139049448 170152614 179605537 208574172 226870152 340305228 359211074 417148344 538816611 680610456 718422148 1077633222 1436844296 1616449833 2155266444 3232899666 4310532888 6465799332 12931598664