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12815710713 = 3213317397499
BaseRepresentation
bin10111110111110000…
…00011100111111001
31020002011000120002100
423323320003213321
5202221310220323
65515405054013
7632404513041
oct137370034771
936064016070
1012815710713
115487153163
122597b57309
1312931586a0
148980b6721
1550019c943
hex2fbe039f9

12815710713 has 96 divisors (see below), whose sum is σ = 21117824000. Its totient is φ = 7435100160.

The previous prime is 12815710681. The next prime is 12815710723. The reversal of 12815710713 is 31701751821.

12815710713 is a `hidden beast` number, since 1 + 2 + 81 + 571 + 0 + 7 + 1 + 3 = 666.

It is not a de Polignac number, because 12815710713 - 25 = 12815710681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12815710723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25682538 + ... + 25683036.

Almost surely, 212815710713 is an apocalyptic number.

12815710713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12815710713 is a deficient number, since it is larger than the sum of its proper divisors (8302113287).

12815710713 is a wasteful number, since it uses less digits than its factorization.

12815710713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 12815710713 in words is "twelve billion, eight hundred fifteen million, seven hundred ten thousand, seven hundred thirteen".

Divisors: 1 3 9 13 31 39 73 93 97 117 219 279 291 403 499 657 873 949 1209 1261 1497 2263 2847 3007 3627 3783 4491 6487 6789 7081 8541 9021 11349 15469 19461 20367 21243 27063 29419 36427 39091 46407 48403 58383 63729 88257 92053 109281 117273 139221 145209 201097 219511 264771 276159 327843 351819 435627 473551 603291 629239 658533 828477 1129237 1420653 1500493 1809873 1887717 1975599 2853643 3387711 3533419 4261959 4501479 5663151 8560929 10163133 10600257 13504437 14680081 19506409 25682787 31800771 44040243 45934447 58519227 109535989 132120729 137803341 175557681 328607967 413410023 985823901 1423967857 4271903571 12815710713