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12917097913 = 1711315742829
BaseRepresentation
bin11000000011110101…
…10100010110111001
31020100012210120011211
430001322310112321
5202423234113123
65533430123121
7635045343406
oct140172642671
936305716154
1012917097913
115529401935
122605ab04a1
1312ab166705
148a77492ad
1550902840d
hex301eb45b9

12917097913 has 16 divisors (see below), whose sum is σ = 13886171280. Its totient is φ = 11972653056.

The previous prime is 12917097871. The next prime is 12917097923. The reversal of 12917097913 is 31979071921.

12917097913 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 160073104 + 12757024809 = 12652^2 + 112947^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12917097913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12917097923) 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 15 ways as a sum of consecutive naturals, for example, 280183 + ... + 323011.

It is an arithmetic number, because the mean of its divisors is an integer number (867885705).

Almost surely, 212917097913 is an apocalyptic number.

It is an amenable number.

12917097913 is a deficient number, since it is larger than the sum of its proper divisors (969073367).

12917097913 is a wasteful number, since it uses less digits than its factorization.

12917097913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43116.

The product of its (nonzero) digits is 214326, while the sum is 49.

The spelling of 12917097913 in words is "twelve billion, nine hundred seventeen million, ninety-seven thousand, nine hundred thirteen".

Divisors: 1 17 113 157 1921 2669 17741 42829 301597 728093 4839677 6724153 82274509 114310601 759829289 12917097913