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13718165085 = 3254323330427
BaseRepresentation
bin11001100011010101…
…01001011001011101
31022102001010222202100
430301222221121131
5211043322240320
610145123515313
7663643323252
oct146152513135
938361128670
1013718165085
1158aa601519
1227aa228b39
1313a8101261
14941cb1429
15554511790
hex331aa965d

13718165085 has 48 divisors (see below), whose sum is σ = 24436361664. Its totient is φ = 7115302656.

The previous prime is 13718165077. The next prime is 13718165141. The reversal of 13718165085 is 58056181731.

13718165085 is a `hidden beast` number, since 137 + 1 + 8 + 1 + 6 + 508 + 5 = 666.

It is not a de Polignac number, because 13718165085 - 23 = 13718165077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13718165085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435642 + ... + 466068.

It is an arithmetic number, because the mean of its divisors is an integer number (509090868).

Almost surely, 213718165085 is an apocalyptic number.

13718165085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13718165085 is a deficient number, since it is larger than the sum of its proper divisors (10718196579).

13718165085 is a wasteful number, since it uses less digits than its factorization.

13718165085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30714 (or 30711 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 13718165085 in words is "thirteen billion, seven hundred eighteen million, one hundred sixty-five thousand, eighty-five".

Divisors: 1 3 5 9 15 43 45 129 215 233 387 645 699 1165 1935 2097 3495 10019 10485 30057 30427 50095 90171 91281 150285 152135 273843 450855 456405 1308361 1369215 3925083 6541805 7089491 11775249 19625415 21268473 35447455 58876245 63805419 106342365 304848113 319027095 914544339 1524240565 2743633017 4572721695 13718165085