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12695638757 is a prime number
BaseRepresentation
bin10111101001011100…
…00001001011100101
31012202210002021022212
423310232001023211
5202000040420012
65455435333205
7626416102034
oct136456011345
935683067285
1012695638757
1154253a233a
1225638b1205
131274307aa9
1488617c71b
154e4880b22
hex2f4b812e5

12695638757 has 2 divisors, whose sum is σ = 12695638758. Its totient is φ = 12695638756.

The previous prime is 12695638741. The next prime is 12695638793. The reversal of 12695638757 is 75783659621.

It is a happy number.

12695638757 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., 11437446916 + 1258191841 = 106946^2 + 35471^2 .

It is a cyclic number.

It is not a de Polignac number, because 12695638757 - 24 = 12695638741 is a prime.

It is a super-2 number, since 2×126956387572 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12695638696 and 12695638705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12695638057) 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, 6347819378 + 6347819379.

It is an arithmetic number, because the mean of its divisors is an integer number (6347819379).

Almost surely, 212695638757 is an apocalyptic number.

It is an amenable number.

12695638757 is a deficient number, since it is larger than the sum of its proper divisors (1).

12695638757 is an equidigital number, since it uses as much as digits as its factorization.

12695638757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 19051200, while the sum is 59.

The spelling of 12695638757 in words is "twelve billion, six hundred ninety-five million, six hundred thirty-eight thousand, seven hundred fifty-seven".