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93744000013 is a prime number
BaseRepresentation
bin101011101001110010…
…0111110110000001101
322221222011212121121111
41113103210332300031
53013441431000023
6111022043132021
76526030565326
oct1272344766015
9287864777544
1093744000013
1136836053784
1216202814011
138abc6b02c1
14477425344d
152689dd500d
hex15d393ec0d

93744000013 has 2 divisors, whose sum is σ = 93744000014. Its totient is φ = 93744000012.

The previous prime is 93743999971. The next prime is 93744000017. The reversal of 93744000013 is 31000044739.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64210546404 + 29533453609 = 253398^2 + 171853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93744000013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (93744000017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46872000006 + 46872000007.

It is an arithmetic number, because the mean of its divisors is an integer number (46872000007).

Almost surely, 293744000013 is an apocalyptic number.

It is an amenable number.

93744000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

93744000013 is an equidigital number, since it uses as much as digits as its factorization.

93744000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 93744000013 in words is "ninety-three billion, seven hundred forty-four million, thirteen", and thus it is an aban number.