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12413672340660 = 2232568964846337
BaseRepresentation
bin1011010010100100100010…
…0001111011110010110100
31121221201212011120100020200
42310221020201323302310
53111341200104400120
642222432400000500
72420600241623013
oct264511041736264
947851764510220
1012413672340660
113a5667745a098
121485a29900130
136c07b17a6516
1430cb79924a7a
15167d94cc7e90
hexb4a4887bcb4

12413672340660 has 36 divisors (see below), whose sum is σ = 37654806100548. Its totient is φ = 3310312624128.

The previous prime is 12413672340623. The next prime is 12413672340661. The reversal of 12413672340660 is 6604327631421.

12413672340660 is a `hidden beast` number, since 1 + 241 + 3 + 6 + 7 + 2 + 340 + 6 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3438962549136 + 8974709791524 = 1854444^2 + 2995782^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413672340661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34482422989 + ... + 34482423348.

Almost surely, 212413672340660 is an apocalyptic number.

12413672340660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12413672340660 is an abundant number, since it is smaller than the sum of its proper divisors (25241133759888).

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

12413672340660 is a wasteful number, since it uses less digits than its factorization.

12413672340660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68964846352 (or 68964846347 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 12413672340660 in words is "twelve trillion, four hundred thirteen billion, six hundred seventy-two million, three hundred forty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 68964846337 137929692674 206894539011 275859385348 344824231685 413789078022 620683617033 689648463370 827578156044 1034472695055 1241367234066 1379296926740 2068945390110 2482734468132 3103418085165 4137890780220 6206836170330 12413672340660