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12963218013 = 323173962873
BaseRepresentation
bin11000001001010101…
…10000001001011101
31020110102120201001200
430010222300021131
5203022040434023
65542154430113
7636145351344
oct140452601135
936412521050
1012963218013
115552442619
122619432339
1312b7893b05
148ad912b5b
1550d0d8743
hex304ab025d

12963218013 has 24 divisors (see below), whose sum is σ = 19355132160. Its totient is φ = 8351916480.

The previous prime is 12963218011. The next prime is 12963218077. The reversal of 12963218013 is 31081236921.

12963218013 is a `hidden beast` number, since 1 + 2 + 9 + 632 + 1 + 8 + 0 + 13 = 666.

It is not a de Polignac number, because 12963218013 - 21 = 12963218011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12963218011) 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, 174745 + ... + 237617.

It is an arithmetic number, because the mean of its divisors is an integer number (806463840).

Almost surely, 212963218013 is an apocalyptic number.

It is an amenable number.

12963218013 is a deficient number, since it is larger than the sum of its proper divisors (6391914147).

12963218013 is a wasteful number, since it uses less digits than its factorization.

12963218013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63649 (or 63646 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12963218013 in words is "twelve billion, nine hundred sixty-three million, two hundred eighteen thousand, thirteen".

Divisors: 1 3 9 31 93 279 739 2217 6651 22909 62873 68727 188619 206181 565857 1949063 5847189 17541567 46463147 139389441 418168323 1440357557 4321072671 12963218013