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12786456629 is a prime number
BaseRepresentation
bin10111110100010000…
…11101100000110101
31020000002222022000202
423322020131200311
5202141313103004
65512442050245
7631601042132
oct137210354065
936002868022
1012786456629
115471692131
12258a1a9985
13128a08508b
1489425d589
154ec81eb1e
hex2fa21d835

12786456629 has 2 divisors, whose sum is σ = 12786456630. Its totient is φ = 12786456628.

The previous prime is 12786456611. The next prime is 12786456691. The reversal of 12786456629 is 92665468721.

12786456629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12409514404 + 376942225 = 111398^2 + 19415^2 .

It is a cyclic number.

It is not a de Polignac number, because 12786456629 - 28 = 12786456373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12786455629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6393228314 + 6393228315.

It is an arithmetic number, because the mean of its divisors is an integer number (6393228315).

Almost surely, 212786456629 is an apocalyptic number.

It is an amenable number.

12786456629 is a deficient number, since it is larger than the sum of its proper divisors (1).

12786456629 is an equidigital number, since it uses as much as digits as its factorization.

12786456629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8709120, while the sum is 56.

The spelling of 12786456629 in words is "twelve billion, seven hundred eighty-six million, four hundred fifty-six thousand, six hundred twenty-nine".