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13138725691 = 72133312127
BaseRepresentation
bin11000011110010000…
…10000101100111011
31020220122211102100001
430033020100230323
5203402003210231
610011424253431
7643406216500
oct141710205473
936818742301
1013138725691
115632517093
122668171277
131315054000
148c8d5b4a7
1551d705b61
hex30f210b3b

13138725691 has 72 divisors (see below), whose sum is σ = 17242928640. Its totient is φ = 9980923680.

The previous prime is 13138725679. The next prime is 13138725697. The reversal of 13138725691 is 19652783131.

It is a happy number.

It is not a de Polignac number, because 13138725691 - 229 = 12601854779 is a prime.

It is a super-2 number, since 2×131387256912 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13138725697) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103454470 + ... + 103454596.

It is an arithmetic number, because the mean of its divisors is an integer number (239485120).

Almost surely, 213138725691 is an apocalyptic number.

13138725691 is a deficient number, since it is larger than the sum of its proper divisors (4104202949).

13138725691 is an equidigital number, since it uses as much as digits as its factorization.

13138725691 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 178 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The spelling of 13138725691 in words is "thirteen billion, one hundred thirty-eight million, seven hundred twenty-five thousand, six hundred ninety-one".

Divisors: 1 7 13 31 49 91 127 169 217 403 637 889 961 1183 1519 1651 2197 2821 3937 5239 6223 6727 8281 11557 12493 15379 19747 21463 27559 36673 47089 51181 68107 80899 87451 107653 122047 150241 162409 192913 256711 279019 358267 476749 612157 665353 854329 1051687 1136863 1586611 1953133 2111317 2507869 3337243 4657471 5980303 7958041 8649589 11106277 13671931 14779219 20625943 32602297 60547123 77743939 103454533 144381601 268137259 423829861 1010671207 1876960813 13138725691