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6468726013 is a prime number
BaseRepresentation
bin1100000011001000…
…01110110011111101
3121200211001022212221
412001210032303331
5101221443213023
62545515125341
7316205156341
oct60144166375
917624038787
106468726013
11281a477662
121306443851
137c1221039
14455183621
1527cd7485d
hex18190ecfd

6468726013 has 2 divisors, whose sum is σ = 6468726014. Its totient is φ = 6468726012.

The previous prime is 6468726001. The next prime is 6468726037. The reversal of 6468726013 is 3106278646.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5342586649 + 1126139364 = 73093^2 + 33558^2 .

It is a cyclic number.

It is not a de Polignac number, because 6468726013 - 225 = 6435171581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6468729013) 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, 3234363006 + 3234363007.

It is an arithmetic number, because the mean of its divisors is an integer number (3234363007).

Almost surely, 26468726013 is an apocalyptic number.

It is an amenable number.

6468726013 is a deficient number, since it is larger than the sum of its proper divisors (1).

6468726013 is an equidigital number, since it uses as much as digits as its factorization.

6468726013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 6468726013 is about 80428.3905906366. The cubic root of 6468726013 is about 1863.2576753540.

The spelling of 6468726013 in words is "six billion, four hundred sixty-eight million, seven hundred twenty-six thousand, thirteen".