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13140673175 = 527171012433
BaseRepresentation
bin11000011110011111…
…01100001010010111
31020220210111100210002
430033033230022113
5203403003020200
610011534121515
7643431610340
oct141717541227
936823440702
1013140673175
115633627283
12266895029b
131315586576
148c93070c7
1551d98cbd5
hex30f3ec297

13140673175 has 72 divisors (see below), whose sum is σ = 19960784928. Its totient is φ = 8377344000.

The previous prime is 13140673171. The next prime is 13140673213. The reversal of 13140673175 is 57137604131.

It is not a de Polignac number, because 13140673175 - 22 = 13140673171 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13140673171) 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 71 ways as a sum of consecutive naturals, for example, 30347759 + ... + 30348191.

It is an arithmetic number, because the mean of its divisors is an integer number (277233124).

Almost surely, 213140673175 is an apocalyptic number.

13140673175 is a deficient number, since it is larger than the sum of its proper divisors (6820111753).

13140673175 is a wasteful number, since it uses less digits than its factorization.

13140673175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The spelling of 13140673175 in words is "thirteen billion, one hundred forty million, six hundred seventy-three thousand, one hundred seventy-five".

Divisors: 1 5 7 17 25 35 85 101 119 175 425 433 505 595 707 1717 2165 2525 2975 3031 3535 7361 8585 10201 10825 12019 15155 17675 36805 42925 43733 51005 51527 60095 71407 75775 173417 184025 218665 255025 257635 300475 306131 357035 743461 867085 1093325 1213919 1288175 1530655 1785175 3717305 4335425 4417033 5204227 6069595 7653275 18586525 22085165 26021135 30347975 30919231 75089561 110425825 130105675 154596155 375447805 525626927 772980775 1877239025 2628134635 13140673175