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90040846637056 = 2117109367157007
BaseRepresentation
bin10100011110010001000100…
…101011011101100000000000
3102210210211011102020102122211
4110132101010223131200000
543300212123214341211
6515300105514511504
724652144055252230
oct2436210453354000
9383724142212584
1090040846637056
1126765121626147
12a122629435594
133b31a7a5a1663
1418340008b9cc0
15a6228084de21
hex51e444add800

90040846637056 has 192 divisors, whose sum is σ = 208212202598400. Its totient is φ = 38130482184192.

The previous prime is 90040846637041. The next prime is 90040846637107. The reversal of 90040846637056 is 65073664804009.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573404505 + ... + 573561511.

It is an arithmetic number, because the mean of its divisors is an integer number (1084438555200).

Almost surely, 290040846637056 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 90040846637056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104106101299200).

90040846637056 is an abundant number, since it is smaller than the sum of its proper divisors (118171355961344).

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

90040846637056 is a wasteful number, since it uses less digits than its factorization.

90040846637056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157512 (or 157492 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 90040846637056 in words is "ninety trillion, forty billion, eight hundred forty-six million, six hundred thirty-seven thousand, fifty-six".