Search a number
-
+
12642766537 is a prime number
BaseRepresentation
bin10111100011001000…
…10100111011001001
31012122002121002021111
423301210110323021
5201343022012122
65450310210321
7625204512442
oct136144247311
935562532244
1012642766537
1153a856a695
12254a0539a1
13126638525b
1487d1382c9
154dedd9d77
hex2f1914ec9

12642766537 has 2 divisors, whose sum is σ = 12642766538. Its totient is φ = 12642766536.

The previous prime is 12642766471. The next prime is 12642766553. The reversal of 12642766537 is 73566724621.

12642766537 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., 12638031561 + 4734976 = 112419^2 + 2176^2 .

It is a cyclic number.

It is not a de Polignac number, because 12642766537 - 211 = 12642764489 is a prime.

It is not a weakly prime, because it can be changed into another prime (12642766637) 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, 6321383268 + 6321383269.

It is an arithmetic number, because the mean of its divisors is an integer number (6321383269).

Almost surely, 212642766537 is an apocalyptic number.

It is an amenable number.

12642766537 is a deficient number, since it is larger than the sum of its proper divisors (1).

12642766537 is an equidigital number, since it uses as much as digits as its factorization.

12642766537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2540160, while the sum is 49.

The spelling of 12642766537 in words is "twelve billion, six hundred forty-two million, seven hundred sixty-six thousand, five hundred thirty-seven".