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13601857129 = 72166612
BaseRepresentation
bin11001010101011101…
…11101111001101001
31022002221021221020021
430222232331321221
5210324033412004
610125411000441
7661031610100
oct145256757151
938087257207
1013601857129
11584a991643
122777299121
131389c9a993
14930677037
155491d9d54
hex32abbde69

13601857129 has 9 divisors (see below), whose sum is σ = 15823518231. Its totient is φ = 11658034920.

The previous prime is 13601857117. The next prime is 13601857187. The reversal of 13601857129 is 92175810631.

The square root of 13601857129 is 116627.

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

It can be written as a sum of positive squares in only one way, i.e., 6662967129 + 6938890000 = 81627^2 + 83300^2 .

It is not a de Polignac number, because 13601857129 - 211 = 13601855081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13601858129) 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, 808059 + ... + 824719.

Almost surely, 213601857129 is an apocalyptic number.

13601857129 is the 116627-th square number.

13601857129 is the 58314-th centered octagonal number.

It is an amenable number.

13601857129 is a deficient number, since it is larger than the sum of its proper divisors (2221661102).

13601857129 is an frugal number, since it uses more digits than its factorization.

13601857129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33336 (or 16668 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 13601857129 in words is "thirteen billion, six hundred one million, eight hundred fifty-seven thousand, one hundred twenty-nine".

Divisors: 1 7 49 16661 116627 816389 277588921 1943122447 13601857129