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12413498664 = 233792979537
BaseRepresentation
bin10111000111110011…
…01111010100101000
31012001010012001212210
423203321233110220
5200410323424124
65411440205120
7616421666130
oct134371572450
935033161783
1012413498664
1152a0107306
1224a53097a0
13122aa212a8
1485a8d7ac0
154c9beda29
hex2e3e6f528

12413498664 has 64 divisors (see below), whose sum is σ = 35505763200. Its totient is φ = 3542851584.

The previous prime is 12413498611. The next prime is 12413498677. The reversal of 12413498664 is 46689431421.

It is a happy number.

It is a super-3 number, since 3×124134986643 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 116304 + ... + 195840.

It is an arithmetic number, because the mean of its divisors is an integer number (554777550).

Almost surely, 212413498664 is an apocalyptic number.

12413498664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12413498664 is an abundant number, since it is smaller than the sum of its proper divisors (23092264536).

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

12413498664 is a wasteful number, since it uses less digits than its factorization.

12413498664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80482 (or 80478 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 12413498664 in words is "twelve billion, four hundred thirteen million, four hundred ninety-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 929 1858 2787 3716 5574 6503 7432 11148 13006 19509 22296 26012 39018 52024 78036 79537 156072 159074 238611 318148 477222 556759 636296 954444 1113518 1670277 1908888 2227036 3340554 4454072 6681108 13362216 73889873 147779746 221669619 295559492 443339238 517229111 591118984 886678476 1034458222 1551687333 1773356952 2068916444 3103374666 4137832888 6206749332 12413498664