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90917459825 = 526615501813
BaseRepresentation
bin101010010101100011…
…0100101011101110001
322200200012020111101212
41110223012211131301
52442144332203300
6105433352405505
76366006441353
oct1245306453561
9280605214355
1090917459825
1135615599255
12157540a6895
13875bc1cb0a
144586ac10d3
152571ba6935
hex152b1a5771

90917459825 has 12 divisors (see below), whose sum is σ = 112908226908. Its totient is φ = 72623918400.

The previous prime is 90917459803. The next prime is 90917459849. The reversal of 90917459825 is 52895471909.

It can be written as a sum of positive squares in 6 ways, for example, as 850247281 + 90067212544 = 29159^2 + 300112^2 .

It is not a de Polignac number, because 90917459825 - 26 = 90917459761 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2734382 + ... + 2767431.

It is an arithmetic number, because the mean of its divisors is an integer number (9409018909).

Almost surely, 290917459825 is an apocalyptic number.

It is an amenable number.

90917459825 is a deficient number, since it is larger than the sum of its proper divisors (21990767083).

90917459825 is a wasteful number, since it uses less digits than its factorization.

90917459825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502484 (or 5502479 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 59.

The spelling of 90917459825 in words is "ninety billion, nine hundred seventeen million, four hundred fifty-nine thousand, eight hundred twenty-five".

Divisors: 1 5 25 661 3305 16525 5501813 27509065 137545325 3636698393 18183491965 90917459825