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12268116631771 = 7211213159167023
BaseRepresentation
bin1011001010000110010010…
…1110111110000011011011
31121102211011010211012122121
42302201210232332003123
53102000100324204041
642031521152002111
72404225236536500
oct262414456760333
947384133735577
1012268116631771
1139aa974011700
121461787530337
136acb55bc6b20
14305acc4db4a7
151641c64807d1
hexb2864bbe0db

12268116631771 has 36 divisors (see below), whose sum is σ = 16893032925216. Its totient is φ = 8824219699680.

The previous prime is 12268116631759. The next prime is 12268116631843. The reversal of 12268116631771 is 17713661186221.

It is not a de Polignac number, because 12268116631771 - 229 = 12267579760859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12268116631571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79506435 + ... + 79660588.

Almost surely, 212268116631771 is an apocalyptic number.

12268116631771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12268116631771 is a deficient number, since it is larger than the sum of its proper divisors (4624916293445).

12268116631771 is a wasteful number, since it uses less digits than its factorization.

12268116631771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159167072 (or 159167054 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 52.

The spelling of 12268116631771 in words is "twelve trillion, two hundred sixty-eight billion, one hundred sixteen million, six hundred thirty-one thousand, seven hundred seventy-one".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1573 5929 7007 11011 77077 159167023 1114169161 1750837253 2069171299 7799184127 12255860771 14484199093 19259209783 22760884289 85791025397 101389393651 134814468481 159326190023 250369727179 943701279367 1115283330161 1752588090253 12268116631771