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90918746624 = 291731026449
BaseRepresentation
bin101010010101100101…
…1011111101000000000
322200200021122212120002
41110223023133220000
52442200144342444
6105433440135132
76366023411066
oct1245313375000
9280607585502
1090918746624
1135616298022
12157546074a8
13875c280734
144586d38036
152571d5cd4e
hex152b2dfa00

90918746624 has 40 divisors (see below), whose sum is σ = 182710152900. Its totient is φ = 45196558336.

The previous prime is 90918746621. The next prime is 90918746641. The reversal of 90918746624 is 42664781909.

It can be written as a sum of positive squares in 2 ways, for example, as 78642106624 + 12276640000 = 280432^2 + 110800^2 .

It is a super-2 number, since 2×909187466242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90918746624.

It is not an unprimeable number, because it can be changed into a prime (90918746621) 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 3 ways as a sum of consecutive naturals, for example, 424649 + ... + 601800.

Almost surely, 290918746624 is an apocalyptic number.

It is an amenable number.

90918746624 is an abundant number, since it is smaller than the sum of its proper divisors (91791406276).

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

90918746624 is a wasteful number, since it uses less digits than its factorization.

90918746624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026640 (or 1026624 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 90918746624 in words is "ninety billion, nine hundred eighteen million, seven hundred forty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 692 1384 2768 5536 11072 22144 44288 88576 1026449 2052898 4105796 8211592 16423184 32846368 65692736 131385472 177575677 262770944 355151354 525541888 710302708 1420605416 2841210832 5682421664 11364843328 22729686656 45459373312 90918746624