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90264115836949 is a prime number
BaseRepresentation
bin10100100001100001000000…
…100011110111100000010101
3102211121011110102121221120111
4110201201000203313200111
543312341402123240244
6515550432400403021
725004236636165165
oct2441410043674025
9384534412557514
1090264115836949
112684088423365a
12a159959916471
133b49b3c685562
141840b411225a5
15a67e9ba5ae34
hex5218408f7815

90264115836949 has 2 divisors, whose sum is σ = 90264115836950. Its totient is φ = 90264115836948.

The previous prime is 90264115836871. The next prime is 90264115836977. The reversal of 90264115836949 is 94963851146209.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83926083009924 + 6338032827025 = 9161118^2 + 2517545^2 .

It is a cyclic number.

It is not a de Polignac number, because 90264115836949 - 231 = 90261968353301 is a prime.

It is a super-2 number, since 2×902641158369492 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90264115836149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45132057918474 + 45132057918475.

It is an arithmetic number, because the mean of its divisors is an integer number (45132057918475).

Almost surely, 290264115836949 is an apocalyptic number.

It is an amenable number.

90264115836949 is a deficient number, since it is larger than the sum of its proper divisors (1).

90264115836949 is an equidigital number, since it uses as much as digits as its factorization.

90264115836949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100776960, while the sum is 67.

The spelling of 90264115836949 in words is "ninety trillion, two hundred sixty-four billion, one hundred fifteen million, eight hundred thirty-six thousand, nine hundred forty-nine".