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90849112596959 is a prime number
BaseRepresentation
bin10100101010000001110101…
…000101011010000111011111
3102220200002102212020102221112
4110222001311011122013133
543401432440311100314
6521115301155252235
725064426462460563
oct2452016505320737
9386602385212845
1090849112596959
1126a4698a6a1962
12a2331bbbaa07b
133b9005ac01062
14186119897b6a3
15a782d967443e
hex52a07515a1df

90849112596959 has 2 divisors, whose sum is σ = 90849112596960. Its totient is φ = 90849112596958.

The previous prime is 90849112596833. The next prime is 90849112596973. The reversal of 90849112596959 is 95969521194809.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 90849112596959 - 216 = 90849112531423 is a prime.

It is a super-2 number, since 2×908491125969592 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90849112596959.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90849112595959) 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, 45424556298479 + 45424556298480.

It is an arithmetic number, because the mean of its divisors is an integer number (45424556298480).

Almost surely, 290849112596959 is an apocalyptic number.

90849112596959 is a deficient number, since it is larger than the sum of its proper divisors (1).

90849112596959 is an equidigital number, since it uses as much as digits as its factorization.

90849112596959 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 566870400, while the sum is 77.

The spelling of 90849112596959 in words is "ninety trillion, eight hundred forty-nine billion, one hundred twelve million, five hundred ninety-six thousand, nine hundred fifty-nine".