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12641111056135 = 54783648095927
BaseRepresentation
bin1011011111110011110011…
…1011110001111100000111
31122202110220202122012021101
42313330330323301330013
53124102443412244020
642515125105000531
72443201342043032
oct267747473617407
948673822565241
1012641111056135
114034079702351
121501b22623147
137090896517c3
14319b93c0a019
1516dc5709200a
hexb7f3cef1f07

12641111056135 has 16 divisors (see below), whose sum is σ = 15678736690176. Its totient is φ = 9778471331488.

The previous prime is 12641111056087. The next prime is 12641111056151. The reversal of 12641111056135 is 53165011114621.

It is a cyclic number.

It is not a de Polignac number, because 12641111056135 - 223 = 12641102667527 is a prime.

It is a super-2 number, since 2×126411110561352 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12641111056094 and 12641111056103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324028459 + ... + 324067468.

It is an arithmetic number, because the mean of its divisors is an integer number (979921043136).

Almost surely, 212641111056135 is an apocalyptic number.

12641111056135 is a deficient number, since it is larger than the sum of its proper divisors (3037625634041).

12641111056135 is an equidigital number, since it uses as much as digits as its factorization.

12641111056135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648096062.

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 12641111056135 in words is "twelve trillion, six hundred forty-one billion, one hundred eleven million, fifty-six thousand, one hundred thirty-five".

Divisors: 1 5 47 83 235 415 3901 19505 648095927 3240479635 30460508569 53791961941 152302542845 268959809705 2528222211227 12641111056135