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90957822192 = 24322695214507
BaseRepresentation
bin101010010110110000…
…0100011100011110000
322200210000012010011100
41110231200203203300
52442240200302232
6105441353444400
76400006506036
oct1245540434360
9280700163140
1090957822192
1135636357086
1215765710700
1387673b2583
14458c1ca556
1525754cac7c
hex152d8238f0

90957822192 has 120 divisors (see below), whose sum is σ = 256049080560. Its totient is φ = 30141895680.

The previous prime is 90957822173. The next prime is 90957822209. The reversal of 90957822192 is 29122875909.

It is a super-2 number, since 2×909578221922 (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 23 ways as a sum of consecutive naturals, for example, 20179203 + ... + 20183709.

It is an arithmetic number, because the mean of its divisors is an integer number (2133742338).

Almost surely, 290957822192 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 90957822192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128024540280).

90957822192 is an abundant number, since it is smaller than the sum of its proper divisors (165091258368).

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

90957822192 is a wasteful number, since it uses less digits than its factorization.

90957822192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5311 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 90957822192 in words is "ninety billion, nine hundred fifty-seven million, eight hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 269 521 538 807 1042 1076 1563 1614 2084 2152 2421 3126 3228 4168 4304 4507 4689 4842 6252 6456 8336 9014 9378 9684 12504 12912 13521 18028 18756 19368 25008 27042 36056 37512 38736 40563 54084 72112 75024 81126 108168 140149 162252 216336 280298 324504 420447 560596 649008 840894 1121192 1212383 1261341 1681788 2242384 2348147 2424766 2522682 3363576 3637149 4696294 4849532 5045364 6727152 7044441 7274298 9392588 9699064 10090728 10911447 14088882 14548596 18785176 19398128 20181456 21133323 21822894 28177764 29097192 37570352 42266646 43645788 56355528 58194384 84533292 87291576 112711056 169066584 174583152 338133168 631651543 1263303086 1894954629 2526606172 3789909258 5053212344 5684863887 7579818516 10106424688 11369727774 15159637032 22739455548 30319274064 45478911096 90957822192