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90767513521 = 1237676110853
BaseRepresentation
bin101010010001000101…
…0100101011110110001
322200021202002102202001
41110202022211132301
52441342440413041
6105410434454001
76362206064206
oct1244212453661
9280252072661
1090767513521
1135548993393
1215711a34301
138736b3c4a9
144570c0bcad
152563938131
hex15222a57b1

90767513521 has 8 divisors (see below), whose sum is σ = 90862698024. Its totient is φ = 90672366720.

The previous prime is 90767513503. The next prime is 90767513539. The reversal of 90767513521 is 12531576709.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (90767513503) and next prime (90767513539).

It can be written as a sum of positive squares in 4 ways, for example, as 38159669025 + 52607844496 = 195345^2 + 229364^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 90767513521 - 25 = 90767513489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90767513821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8357931 + ... + 8368783.

It is an arithmetic number, because the mean of its divisors is an integer number (11357837253).

Almost surely, 290767513521 is an apocalyptic number.

It is an amenable number.

90767513521 is a deficient number, since it is larger than the sum of its proper divisors (95184503).

90767513521 is a wasteful number, since it uses less digits than its factorization.

90767513521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18851.

The product of its (nonzero) digits is 396900, while the sum is 46.

The spelling of 90767513521 in words is "ninety billion, seven hundred sixty-seven million, five hundred thirteen thousand, five hundred twenty-one".

Divisors: 1 1237 6761 10853 8363357 13425161 73377133 90767513521