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12413312807 = 7171941359373
BaseRepresentation
bin10111000111110010…
…00001111100100111
31012001002211121221012
423203321001330213
5200410302002212
65411432212435
7616420263230
oct134371017447
935032747835
1012413312807
11529aa9a705
1224a523a11b
13122a98780c
1485a88a087
154c9bb3922
hex2e3e41f27

12413312807 has 64 divisors (see below), whose sum is σ = 16286054400. Its totient is φ = 9205125120.

The previous prime is 12413312771. The next prime is 12413312861. The reversal of 12413312807 is 70821331421.

It is a cyclic number.

It is not a de Polignac number, because 12413312807 - 220 = 12412264231 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12413312887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33279473 + ... + 33279845.

It is an arithmetic number, because the mean of its divisors is an integer number (254469600).

Almost surely, 212413312807 is an apocalyptic number.

12413312807 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

12413312807 is a deficient number, since it is larger than the sum of its proper divisors (3872741593).

12413312807 is a wasteful number, since it uses less digits than its factorization.

12413312807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 12413312807 in words is "twelve billion, four hundred thirteen million, three hundred twelve thousand, eight hundred seven".

Divisors: 1 7 17 19 41 119 133 287 323 359 373 697 779 2261 2513 2611 4879 5453 6103 6341 6821 7087 13243 14719 15293 42721 44387 47747 49609 92701 103033 107051 115957 120479 133907 250223 259981 279661 290567 811699 843353 937349 1751561 1819867 1957627 2033969 2276419 2544233 4754237 4939639 5490187 15934933 17809631 33279659 34577473 38431309 43251961 93333179 104313553 302763727 653332253 730194871 1773330401 12413312807