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13718624601 = 3112713594273
BaseRepresentation
bin11001100011011000…
…11001100101011001
31022102002000100002110
430301230121211121
5211043431441401
610145141422533
7663650246043
oct146154314531
938362010073
1013718624601
1158aa895790
1227aa40aa49
1313a8232466
14941d90a93
155545a29d6
hex331b19959

13718624601 has 32 divisors (see below), whose sum is σ = 20088483840. Its totient is φ = 8258630400.

The previous prime is 13718624581. The next prime is 13718624653. The reversal of 13718624601 is 10642681731.

13718624601 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 13718624601 - 26 = 13718624537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13718624601.

It is not an unprimeable number, because it can be changed into a prime (13718624501) 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 31 ways as a sum of consecutive naturals, for example, 3208401 + ... + 3212673.

It is an arithmetic number, because the mean of its divisors is an integer number (627765120).

Almost surely, 213718624601 is an apocalyptic number.

13718624601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13718624601 is a deficient number, since it is larger than the sum of its proper divisors (6369859239).

13718624601 is a wasteful number, since it uses less digits than its factorization.

13718624601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917.

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 13718624601 in words is "thirteen billion, seven hundred eighteen million, six hundred twenty-four thousand, six hundred one".

Divisors: 1 3 11 33 271 359 813 1077 2981 3949 4273 8943 11847 12819 47003 97289 141009 291867 1070179 1157983 1534007 3210537 3473949 4602021 12737813 16874077 38213439 50622231 415715897 1247147691 4572874867 13718624601