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13696436013 = 313292537879
BaseRepresentation
bin11001100000101111…
…10000011100101101
31022100112021001001220
430300113300130231
5211022241423023
610143030053553
7663260533221
oct146027603455
938315231056
1013696436013
115899310107
1227a2aaa2b9
1313a3763b10
1493d056781
1555266d3e3
hex3305f072d

13696436013 has 48 divisors (see below), whose sum is σ = 20755163520. Its totient is φ = 7983376128.

The previous prime is 13696435943. The next prime is 13696436059. The reversal of 13696436013 is 31063469631.

13696436013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13696436013 - 210 = 13696434989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13696436713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1734408 + ... + 1742286.

It is an arithmetic number, because the mean of its divisors is an integer number (432399240).

Almost surely, 213696436013 is an apocalyptic number.

13696436013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13696436013 is a deficient number, since it is larger than the sum of its proper divisors (7058727507).

13696436013 is a wasteful number, since it uses less digits than its factorization.

13696436013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8006 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The spelling of 13696436013 in words is "thirteen billion, six hundred ninety-six million, four hundred thirty-six thousand, thirteen".

Divisors: 1 3 13 29 39 53 87 159 377 689 841 1131 1537 2067 2523 4611 7879 10933 19981 23637 32799 44573 59943 102427 133719 228491 307281 417587 579449 685473 1252761 1738347 2970383 5428631 6626239 8911149 12110023 16285893 19878717 36330069 86141107 157430299 258423321 351190667 472290897 1053572001 4565478671 13696436013