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12759195017 is a prime number
BaseRepresentation
bin10111110001000000…
…11101110110001001
31012221012200021010102
423320200131312021
5202112323220032
65510025455145
7631120240202
oct137040356611
935835607112
1012759195017
115458262078
1225810414b5
13128452b64a
148907a45a9
154ea237362
hex2f881dd89

12759195017 has 2 divisors, whose sum is σ = 12759195018. Its totient is φ = 12759195016.

The previous prime is 12759194993. The next prime is 12759195019. The reversal of 12759195017 is 71059195721.

12759195017 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., 12426898576 + 332296441 = 111476^2 + 18229^2 .

It is a cyclic number.

It is not a de Polignac number, because 12759195017 - 26 = 12759194953 is a prime.

Together with 12759195019, 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 (12759195019) 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, 6379597508 + 6379597509.

It is an arithmetic number, because the mean of its divisors is an integer number (6379597509).

Almost surely, 212759195017 is an apocalyptic number.

It is an amenable number.

12759195017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12759195017 is an equidigital number, since it uses as much as digits as its factorization.

12759195017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 198450, while the sum is 47.

The spelling of 12759195017 in words is "twelve billion, seven hundred fifty-nine million, one hundred ninety-five thousand, seventeen".