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90004638460 = 225112731149803
BaseRepresentation
bin101001111010010110…
…0011100101011111100
322121022120121100220011
41103310230130223330
52433312141412320
6105203023433004
76334253542522
oct1236454345374
9277276540804
1090004638460
11351972aa030
121553a455764
138644a87629
1444db788312
15251b99605a
hex14f4b1cafc

90004638460 has 48 divisors (see below), whose sum is σ = 206269322112. Its totient is φ = 32716756800.

The previous prime is 90004638443. The next prime is 90004638491. The reversal of 90004638460 is 6483640009.

It is a super-2 number, since 2×900046384602 (a number of 23 digits) contains 22 as substring.

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, 525919 + ... + 675721.

It is an arithmetic number, because the mean of its divisors is an integer number (4297277544).

Almost surely, 290004638460 is an apocalyptic number.

It is an amenable number.

90004638460 is an abundant number, since it is smaller than the sum of its proper divisors (116264683652).

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

90004638460 is a wasteful number, since it uses less digits than its factorization.

90004638460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152554 (or 152552 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 90004638460 in words is "ninety billion, four million, six hundred thirty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 2731 5462 10924 13655 27310 30041 54620 60082 120164 149803 150205 299606 300410 599212 600820 749015 1498030 1647833 2996060 3295666 6591332 8239165 16478330 32956660 409111993 818223986 1636447972 2045559965 4091119930 4500231923 8182239860 9000463846 18000927692 22501159615 45002319230 90004638460