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13858704729 = 32392412
BaseRepresentation
bin11001110100000101…
…10000110101011001
31022202211121010220100
430322002300311121
5211340312022404
610211104050013
71000301021652
oct147202606531
938684533810
1013858704729
115971971a91
122829303909
1313cb26a0cc
14956816529
15561a22d39
hex33a0b0d59

13858704729 has 9 divisors (see below), whose sum is σ = 20018639199. Its totient is φ = 9238901040.

The previous prime is 13858704707. The next prime is 13858704731. The reversal of 13858704729 is 92740785831.

It is a happy number.

The square root of 13858704729 is 117723.

It is a perfect power (a square), and thus also a powerful number.

13858704729 is a `hidden beast` number, since 1 + 38 + 587 + 0 + 4 + 7 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3331944729 + 10526760000 = 57723^2 + 102600^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13858704729 - 215 = 13858671961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13858704779) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 333549 + ... + 372789.

Almost surely, 213858704729 is an apocalyptic number.

13858704729 is the 117723-rd square number.

13858704729 is the 58862-nd centered octagonal number.

It is an amenable number.

13858704729 is a deficient number, since it is larger than the sum of its proper divisors (6159934470).

13858704729 is an frugal number, since it uses more digits than its factorization.

13858704729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78488 (or 39244 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 13858704729 in words is "thirteen billion, eight hundred fifty-eight million, seven hundred four thousand, seven hundred twenty-nine".

Divisors: 1 3 9 39241 117723 353169 1539856081 4619568243 13858704729