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12635106657 = 329145231111
BaseRepresentation
bin10111100010001110…
…00110110101100001
31012121120011220220020
423301013012311201
5201334041403112
65445434104053
7625052430435
oct136107066541
935546156806
1012635106657
1153a4208708
12254757b029
131264902894
1487c1029c5
154de3c548c
hex2f11c6d61

12635106657 has 8 divisors (see below), whose sum is σ = 17427733440. Its totient is φ = 8132942160.

The previous prime is 12635106643. The next prime is 12635106719. The reversal of 12635106657 is 75660153621.

12635106657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12635106657 - 211 = 12635104609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12635101657) 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 7 ways as a sum of consecutive naturals, for example, 72615469 + ... + 72615642.

It is an arithmetic number, because the mean of its divisors is an integer number (2178466680).

Almost surely, 212635106657 is an apocalyptic number.

It is an amenable number.

12635106657 is a deficient number, since it is larger than the sum of its proper divisors (4792626783).

12635106657 is a wasteful number, since it uses less digits than its factorization.

12635106657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145231143.

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 12635106657 in words is "twelve billion, six hundred thirty-five million, one hundred six thousand, six hundred fifty-seven".

Divisors: 1 3 29 87 145231111 435693333 4211702219 12635106657