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12641607645 = 3523293140759
BaseRepresentation
bin10111100010111111…
…11001111111011101
31012122000102012120120
423301133321333131
5201342222421040
65450225305153
7625161614652
oct136137717735
935560365516
1012641607645
1153a7948a27
1225497951b9
13126606a914
1487cd15c29
154dec5b7d0
hex2f17f9fdd

12641607645 has 64 divisors (see below), whose sum is σ = 22538649600. Its totient is φ = 6025662720.

The previous prime is 12641607623. The next prime is 12641607661. The reversal of 12641607645 is 54670614621.

It is not a de Polignac number, because 12641607645 - 28 = 12641607389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12641607597 and 12641607606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289776 + ... + 330534.

It is an arithmetic number, because the mean of its divisors is an integer number (352166400).

Almost surely, 212641607645 is an apocalyptic number.

12641607645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12641607645 is a deficient number, since it is larger than the sum of its proper divisors (9897041955).

12641607645 is a wasteful number, since it uses less digits than its factorization.

12641607645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40850.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 12641607645 in words is "twelve billion, six hundred forty-one million, six hundred seven thousand, six hundred forty-five".

Divisors: 1 3 5 15 23 29 31 69 87 93 115 145 155 345 435 465 667 713 899 2001 2139 2697 3335 3565 4495 10005 10695 13485 20677 40759 62031 103385 122277 203795 310155 611385 937457 1182011 1263529 2812371 3546033 3790587 4687285 5910055 6317645 14061855 17730165 18952935 27186253 29061167 36642341 81558759 87183501 109927023 135931265 145305835 183211705 407793795 435917505 549635115 842773843 2528321529 4213869215 12641607645