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90911763144 = 23321379216521
BaseRepresentation
bin101010010101011000…
…0110110101011001000
322200122210112002000200
41110222300312223020
52442141402410034
6105433030332200
76365610144066
oct1245260665310
9280583462020
1090911763144
1135612358254
12157521ba060
13875a9a6bb7
14458603b036
15257142da99
hex152ac36ac8

90911763144 has 48 divisors (see below), whose sum is σ = 248016607020. Its totient is φ = 30082721280.

The previous prime is 90911763113. The next prime is 90911763191. The reversal of 90911763144 is 44136711909.

It is a happy number.

90911763144 is a `hidden beast` number, since 9 + 0 + 9 + 1 + 1 + 7 + 631 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84586742244 + 6325020900 = 290838^2 + 79530^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90911763144.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4598397 + ... + 4618124.

Almost surely, 290911763144 is an apocalyptic number.

It is an amenable number.

90911763144 is an abundant number, since it is smaller than the sum of its proper divisors (157104843876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90911763144 is a wasteful number, since it uses less digits than its factorization.

90911763144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9216670 (or 9216663 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 90911763144 in words is "ninety billion, nine hundred eleven million, seven hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 9216521 18433042 27649563 36866084 55299126 73732168 82948689 110598252 165897378 221196504 331794756 663589512 1262663377 2525326754 3787990131 5050653508 7575980262 10101307016 11363970393 15151960524 22727940786 30303921048 45455881572 90911763144