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12835916729 is a prime number
BaseRepresentation
bin10111111010001010…
…01000101110111001
31020010120001010112022
423331011020232321
5202241443313404
65521410124225
7633041330516
oct137505105671
936116033468
1012835916729
1154975a4249
1225a2880675
1312973b17cc
1489aa5630d
15501d3e8be
hex2fd148bb9

12835916729 has 2 divisors, whose sum is σ = 12835916730. Its totient is φ = 12835916728.

The previous prime is 12835916651. The next prime is 12835916771. The reversal of 12835916729 is 92761953821.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9405120400 + 3430796329 = 96980^2 + 58573^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12835916729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12835916329) 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 as a sum of consecutive naturals, namely, 6417958364 + 6417958365.

It is an arithmetic number, because the mean of its divisors is an integer number (6417958365).

Almost surely, 212835916729 is an apocalyptic number.

It is an amenable number.

12835916729 is a deficient number, since it is larger than the sum of its proper divisors (1).

12835916729 is an equidigital number, since it uses as much as digits as its factorization.

12835916729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1632960, while the sum is 53.

The spelling of 12835916729 in words is "twelve billion, eight hundred thirty-five million, nine hundred sixteen thousand, seven hundred twenty-nine".