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93807521713 is a prime number
BaseRepresentation
bin101011101011101011…
…1010010111110110001
322222010121101212000001
41113113113102332301
53014104211143323
6111032232430001
76530431530643
oct1272727227661
9288117355001
1093807521713
113686899a554
121621bb48301
138acc8c11c9
14477c86a893
1526907813ad
hex15d75d2fb1

93807521713 has 2 divisors, whose sum is σ = 93807521714. Its totient is φ = 93807521712.

The previous prime is 93807521711. The next prime is 93807521779. The reversal of 93807521713 is 31712570839.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61611679089 + 32195842624 = 248217^2 + 179432^2 .

It is an emirp because it is prime and its reverse (31712570839) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 93807521713 - 21 = 93807521711 is a prime.

It is a super-2 number, since 2×938075217132 (a number of 23 digits) contains 22 as substring.

Together with 93807521711, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (93807521711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46903760856 + 46903760857.

It is an arithmetic number, because the mean of its divisors is an integer number (46903760857).

Almost surely, 293807521713 is an apocalyptic number.

It is an amenable number.

93807521713 is a deficient number, since it is larger than the sum of its proper divisors (1).

93807521713 is an equidigital number, since it uses as much as digits as its factorization.

93807521713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 317520, while the sum is 46.

The spelling of 93807521713 in words is "ninety-three billion, eight hundred seven million, five hundred twenty-one thousand, seven hundred thirteen".