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13739767137 = 324771795791
BaseRepresentation
bin11001100101111010…
…00011010101100001
31022110112210111012100
430302331003111201
5211114340022022
610151214521013
7664325044065
oct146275032541
938415714170
1013739767137
115910816458
1227b5506169
1313ac725935
14944ad5aa5
1555637c1ac
hex332f43561

13739767137 has 48 divisors (see below), whose sum is σ = 20817838080. Its totient is φ = 8725298400.

The previous prime is 13739767099. The next prime is 13739767147. The reversal of 13739767137 is 73176793731.

13739767137 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 13739767137 - 26 = 13739767073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13739767147) 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, 2369712 + ... + 2375502.

It is an arithmetic number, because the mean of its divisors is an integer number (433704960).

Almost surely, 213739767137 is an apocalyptic number.

It is an amenable number.

13739767137 is a deficient number, since it is larger than the sum of its proper divisors (7078070943).

13739767137 is a wasteful number, since it uses less digits than its factorization.

13739767137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5991 counting only the distinct ones).

The product of its digits is 3500658, while the sum is 54.

The spelling of 13739767137 in words is "thirteen billion, seven hundred thirty-nine million, seven hundred sixty-seven thousand, one hundred thirty-seven".

Divisors: 1 3 9 47 71 79 141 213 237 423 639 711 3337 3713 5609 5791 10011 11139 16827 17373 30033 33417 50481 52119 263623 272177 411161 457489 790869 816531 1233483 1372467 2372607 2449593 3700449 4117401 19324567 21501983 32481719 57973701 64505949 97445157 173921103 193517847 292335471 1526640793 4579922379 13739767137