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90575584704 = 26321134940961
BaseRepresentation
bin101010001011010111…
…0011011110111000000
322122210100221102220100
41110112232123313000
52440444322202304
6105335421042400
76354355524033
oct1242656336700
9278710842810
1090575584704
113545a613430
12156796b6400
13870614cb47
14455352b01a
152551b75439
hex1516b9bdc0

90575584704 has 168 divisors, whose sum is σ = 284038700400. Its totient is φ = 27367833600.

The previous prime is 90575584699. The next prime is 90575584717. The reversal of 90575584704 is 40748557509.

90575584704 is a `hidden beast` number, since 9 + 0 + 57 + 5 + 584 + 7 + 0 + 4 = 666.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 2190784 + ... + 2231744.

It is an arithmetic number, because the mean of its divisors is an integer number (1690706550).

Almost surely, 290575584704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90575584704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142019350200).

90575584704 is an abundant number, since it is smaller than the sum of its proper divisors (193463115696).

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

90575584704 is a wasteful number, since it uses less digits than its factorization.

90575584704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41339 (or 41326 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 90575584704 in words is "ninety billion, five hundred seventy-five million, five hundred eighty-four thousand, seven hundred four".