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90575582717 is a prime number
BaseRepresentation
bin101010001011010111…
…0011011010111111101
322122210100221100011202
41110112232123113331
52440444322121332
6105335421025245
76354355515164
oct1242656332775
9278710840152
1090575582717
113545a611994
12156796b5225
13870614bc79
14455352a3db
152551b74a62
hex1516b9b5fd

90575582717 has 2 divisors, whose sum is σ = 90575582718. Its totient is φ = 90575582716.

The previous prime is 90575582707. The next prime is 90575582719. The reversal of 90575582717 is 71728557509.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56562633241 + 34012949476 = 237829^2 + 184426^2 .

It is a cyclic number.

It is not a de Polignac number, because 90575582717 - 210 = 90575581693 is a prime.

Together with 90575582719, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90575582719) 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, 45287791358 + 45287791359.

It is an arithmetic number, because the mean of its divisors is an integer number (45287791359).

Almost surely, 290575582717 is an apocalyptic number.

It is an amenable number.

90575582717 is a deficient number, since it is larger than the sum of its proper divisors (1).

90575582717 is an equidigital number, since it uses as much as digits as its factorization.

90575582717 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6174000, while the sum is 56.

The spelling of 90575582717 in words is "ninety billion, five hundred seventy-five million, five hundred eighty-two thousand, seven hundred seventeen".