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812976161729 is a prime number
BaseRepresentation
bin10111101010010010010…
…01111100001111000001
32212201102201002001111012
423311021021330033001
5101304433344133404
61421250500330305
7112510210233224
oct13651111741701
92781381061435
10812976161729
112938659380a6
121116880a3995
135b881422b94
142b4c38875bb
15162325d5a6e
hexbd4927c3c1

812976161729 has 2 divisors, whose sum is σ = 812976161730. Its totient is φ = 812976161728.

The previous prime is 812976161693. The next prime is 812976161731. The reversal of 812976161729 is 927161679218.

812976161729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 630602751025 + 182373410704 = 794105^2 + 427052^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-812976161729 is a prime.

Together with 812976161731, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (812976161749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 406488080864 + 406488080865.

It is an arithmetic number, because the mean of its divisors is an integer number (406488080865).

Almost surely, 2812976161729 is an apocalyptic number.

It is an amenable number.

812976161729 is a deficient number, since it is larger than the sum of its proper divisors (1).

812976161729 is an equidigital number, since it uses as much as digits as its factorization.

812976161729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4572288, while the sum is 59.

The spelling of 812976161729 in words is "eight hundred twelve billion, nine hundred seventy-six million, one hundred sixty-one thousand, seven hundred twenty-nine".