Search a number
-
+
93344000513 is a prime number
BaseRepresentation
bin101011011101110111…
…1000110101000000001
322220221022012112110012
41112323233012220001
53012132031004023
6110514233514305
76513102625121
oct1267357065001
9286838175405
1093344000513
1136650289185
1216110872995
138a5786bcca
14473708cc81
152664c21978
hex15bbbc6a01

93344000513 has 2 divisors, whose sum is σ = 93344000514. Its totient is φ = 93344000512.

The previous prime is 93344000509. The next prime is 93344000551. The reversal of 93344000513 is 31500044339.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60502224784 + 32841775729 = 245972^2 + 181223^2 .

It is a cyclic number.

It is not a de Polignac number, because 93344000513 - 22 = 93344000509 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 93344000513.

It is not a weakly prime, because it can be changed into another prime (93344000593) 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, 46672000256 + 46672000257.

It is an arithmetic number, because the mean of its divisors is an integer number (46672000257).

Almost surely, 293344000513 is an apocalyptic number.

It is an amenable number.

93344000513 is a deficient number, since it is larger than the sum of its proper divisors (1).

93344000513 is an equidigital number, since it uses as much as digits as its factorization.

93344000513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 32.

The spelling of 93344000513 in words is "ninety-three billion, three hundred forty-four million, five hundred thirteen", and thus it is an aban number.