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18113711517 = 32111316612113
BaseRepresentation
bin10000110111101010…
…010100110110011101
31201202101010212220100
4100313222110312131
5244044102232032
612153223411313
71210606002366
oct206752246635
951671125810
1018113711517
117755799620
1236162b3b39
1319289650c5
14c3b98ab6d
1571036a97c
hex437a94d9d

18113711517 has 48 divisors (see below), whose sum is σ = 28817845056. Its totient is φ = 10872576000.

The previous prime is 18113711509. The next prime is 18113711537. The reversal of 18113711517 is 71511731181.

18113711517 is a `hidden beast` number, since 1 + 8 + 1 + 137 + 1 + 1 + 517 = 666.

It is not a de Polignac number, because 18113711517 - 23 = 18113711509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18113711537) 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 47 ways as a sum of consecutive naturals, for example, 8571453 + ... + 8573565.

It is an arithmetic number, because the mean of its divisors is an integer number (600371772).

Almost surely, 218113711517 is an apocalyptic number.

It is an amenable number.

18113711517 is a deficient number, since it is larger than the sum of its proper divisors (10704133539).

18113711517 is a wasteful number, since it uses less digits than its factorization.

18113711517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2919 counting only the distinct ones).

The product of its digits is 5880, while the sum is 36.

The spelling of 18113711517 in words is "eighteen billion, one hundred thirteen million, seven hundred eleven thousand, five hundred seventeen".

Divisors: 1 3 9 11 33 99 131 393 661 1179 1441 1983 2113 4323 5949 6339 7271 12969 19017 21813 23243 65439 69729 86591 209187 259773 276803 779319 830409 952501 1396693 2491227 2857503 3044833 4190079 8572509 9134499 12570237 15363623 27403497 46090869 138272607 182966783 548900349 1646701047 2012634613 6037903839 18113711517