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12509648641 = 723212372731
BaseRepresentation
bin10111010011010001…
…00001011100000001
31012021211002222212001
423221220201130001
5201104432224031
65425153104001
7622000154560
oct135150413401
935254088761
1012509648641
11533a4091a6
122511558001
131244917579
148695a5bd7
154d3392861
hex2e9a21701

12509648641 has 24 divisors (see below), whose sum is σ = 14962923584. Its totient is φ = 10244314080.

The previous prime is 12509648633. The next prime is 12509648707. The reversal of 12509648641 is 14684690521.

It is a happy number.

It is not a de Polignac number, because 12509648641 - 23 = 12509648633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12509648591 and 12509648600.

It is not an unprimeable number, because it can be changed into a prime (12509645641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4579246 + ... + 4581976.

Almost surely, 212509648641 is an apocalyptic number.

It is an amenable number.

12509648641 is a deficient number, since it is larger than the sum of its proper divisors (2453274943).

12509648641 is a wasteful number, since it uses less digits than its factorization.

12509648641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 12509648641 in words is "twelve billion, five hundred nine million, six hundred forty-eight thousand, six hundred forty-one".

Divisors: 1 7 23 161 529 1237 2731 3703 8659 19117 28451 62813 199157 439691 654373 1444699 3378247 4580611 10112893 23647729 77699681 543897767 1787092663 12509648641