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13706368656 = 2431923653431
BaseRepresentation
bin11001100001111011…
…01001011010010000
31022101012221200002120
430300331221122100
5211032312244111
610144023014240
7663441132321
oct146075513220
938335850076
1013706368656
1158a3984702
1227a629a380
1313a5830b16
149404c0448
15553481406
hex330f69690

13706368656 has 80 divisors (see below), whose sum is σ = 38892272640. Its totient is φ = 4140132480.

The previous prime is 13706368651. The next prime is 13706368661. The reversal of 13706368656 is 65686360731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13706368651) and next prime (13706368661).

It is a junction number, because it is equal to n+sod(n) for n = 13706368599 and 13706368608.

It is not an unprimeable number, because it can be changed into a prime (13706368651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305740 + ... + 347691.

It is an arithmetic number, because the mean of its divisors is an integer number (486153408).

Almost surely, 213706368656 is an apocalyptic number.

13706368656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13706368656 is an abundant number, since it is smaller than the sum of its proper divisors (25185903984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13706368656 is a wasteful number, since it uses less digits than its factorization.

13706368656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653484 (or 653478 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 13706368656 in words is "thirteen billion, seven hundred six million, three hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 368 437 456 552 874 912 1104 1311 1748 2622 3496 5244 6992 10488 20976 653431 1306862 1960293 2613724 3920586 5227448 7841172 10454896 12415189 15028913 15682344 24830378 30057826 31364688 37245567 45086739 49660756 60115652 74491134 90173478 99321512 120231304 148982268 180346956 198643024 240462608 285549347 297964536 360693912 571098694 595929072 721387824 856648041 1142197388 1713296082 2284394776 3426592164 4568789552 6853184328 13706368656