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12813809957 = 132934733587
BaseRepresentation
bin10111110111100001…
…10011100100100101
31020002000102222201222
423323300303210211
5202220313404312
65515300230125
7632352405344
oct137360634445
936060388658
1012813809957
115486075093
12259739b345
131292941490
14897b3db5b
154eee24672
hex2fbc33925

12813809957 has 8 divisors (see below), whose sum is σ = 13800368736. Its totient is φ = 11827377072.

The previous prime is 12813809929. The next prime is 12813809989. The reversal of 12813809957 is 75990831821.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12813809957 - 230 = 11740068133 is a prime.

It is a super-2 number, since 2×128138099572 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12813809899 and 12813809908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12813809257) 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 7 ways as a sum of consecutive naturals, for example, 364718 + ... + 398304.

It is an arithmetic number, because the mean of its divisors is an integer number (1725046092).

Almost surely, 212813809957 is an apocalyptic number.

It is an amenable number.

12813809957 is a deficient number, since it is larger than the sum of its proper divisors (986558779).

12813809957 is a wasteful number, since it uses less digits than its factorization.

12813809957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62947.

The product of its (nonzero) digits is 1088640, while the sum is 53.

The spelling of 12813809957 in words is "twelve billion, eight hundred thirteen million, eight hundred nine thousand, nine hundred fifty-seven".

Divisors: 1 13 29347 33587 381511 436631 985677689 12813809957