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12953128961 = 671511280333
BaseRepresentation
bin11000001000001000…
…10001000000000001
31020102201121010111002
430010010101000001
5203012000111321
65541154301345
7635663531243
oct140404210001
936381533432
1012953128961
115547781563
122615b87855
1312b5770866
148ac448093
1550c29420b
hex304111001

12953128961 has 8 divisors (see below), whose sum is σ = 13233532224. Its totient is φ = 12675286800.

The previous prime is 12953128931. The next prime is 12953128963. The reversal of 12953128961 is 16982135921.

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 12953128961 - 26 = 12953128897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12953128963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630050 + ... + 650283.

It is an arithmetic number, because the mean of its divisors is an integer number (1654191528).

Almost surely, 212953128961 is an apocalyptic number.

It is an amenable number.

12953128961 is a deficient number, since it is larger than the sum of its proper divisors (280403263).

12953128961 is a wasteful number, since it uses less digits than its factorization.

12953128961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280551.

The product of its digits is 233280, while the sum is 47.

The spelling of 12953128961 in words is "twelve billion, nine hundred fifty-three million, one hundred twenty-eight thousand, nine hundred sixty-one".

Divisors: 1 67 151 10117 1280333 85782311 193330283 12953128961