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12637435417 = 312100913033
BaseRepresentation
bin10111100010011111…
…11111011000011001
31012121201120020100121
423301033333120121
5201340140413132
65450000033241
7625111300015
oct136117773031
935551506317
1012637435417
1153a5559302
122548302821
131265239849
1487c54b545
154de6d5497
hex2f13ff619

12637435417 has 12 divisors (see below), whose sum is σ = 13072189620. Its totient is φ = 12216718080.

The previous prime is 12637435397. The next prime is 12637435429. The reversal of 12637435417 is 71453473621.

It can be written as a sum of positive squares in 2 ways, for example, as 5858218521 + 6779216896 = 76539^2 + 82336^2 .

It is a de Polignac number, because none of the positive numbers 2k-12637435417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12637435457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963133 + ... + 976165.

It is an arithmetic number, because the mean of its divisors is an integer number (1089349135).

Almost surely, 212637435417 is an apocalyptic number.

It is an amenable number.

12637435417 is a deficient number, since it is larger than the sum of its proper divisors (434754203).

12637435417 is a wasteful number, since it uses less digits than its factorization.

12637435417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14104 (or 14073 counting only the distinct ones).

The product of its digits is 423360, while the sum is 43.

The spelling of 12637435417 in words is "twelve billion, six hundred thirty-seven million, four hundred thirty-five thousand, four hundred seventeen".

Divisors: 1 31 961 1009 13033 31279 404023 969649 12524713 13150297 407659207 12637435417