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13938186670272 = 26338066080249
BaseRepresentation
bin1100101011010011110010…
…1010100101000011000000
31211100110220012020110021000
43022310330222211003000
53311330401241422042
645351040424532000
72636000154620214
oct312647452450300
954313805213230
1013938186670272
11449417400a117
121691392621000
137a149991a6b7
1436287cc32944
1519286e3ac74c
hexcad3caa50c0

13938186670272 has 56 divisors (see below), whose sum is σ = 40975687670000. Its totient is φ = 4646062222848.

The previous prime is 13938186670249. The next prime is 13938186670273. The reversal of 13938186670272 is 27207668183931.

13938186670272 is a `hidden beast` number, since 1 + 393 + 8 + 186 + 67 + 0 + 2 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (13938186670273) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4033038397 + ... + 4033041852.

Almost surely, 213938186670272 is an apocalyptic number.

13938186670272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13938186670272 is an abundant number, since it is smaller than the sum of its proper divisors (27037500999728).

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

13938186670272 is an equidigital number, since it uses as much as digits as its factorization.

13938186670272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8066080270 (or 8066080254 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 13938186670272 in words is "thirteen trillion, nine hundred thirty-eight billion, one hundred eighty-six million, six hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 8066080249 16132160498 24198240747 32264320996 48396481494 64528641992 72594722241 96792962988 129057283984 145189444482 193585925976 217784166723 258114567968 290378888964 387171851952 435568333446 516229135936 580757777928 774343703904 871136666892 1161515555856 1548687407808 1742273333784 2323031111712 3484546667568 4646062223424 6969093335136 13938186670272