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12744676013 is a prime number
BaseRepresentation
bin10111101111010010…
…00101001010101101
31012220012100121210112
423313221011022231
5202100114113023
65504350345405
7630552646556
oct136751051255
935805317715
1012744676013
1154500457a3
1225781bb265
131281516c14
1488c8a532d
154e8d1a478
hex2f7a452ad

12744676013 has 2 divisors, whose sum is σ = 12744676014. Its totient is φ = 12744676012.

The previous prime is 12744675989. The next prime is 12744676051. The reversal of 12744676013 is 31067644721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7718149609 + 5026526404 = 87853^2 + 70898^2 .

It is a cyclic number.

It is not a de Polignac number, because 12744676013 - 232 = 8449708717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12744670013) 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, 6372338006 + 6372338007.

It is an arithmetic number, because the mean of its divisors is an integer number (6372338007).

Almost surely, 212744676013 is an apocalyptic number.

It is an amenable number.

12744676013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12744676013 is an equidigital number, since it uses as much as digits as its factorization.

12744676013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 12744676013 in words is "twelve billion, seven hundred forty-four million, six hundred seventy-six thousand, thirteen".