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2253543240096 = 25332971877909
BaseRepresentation
bin100000110010110001101…
…001001111000110100000
321222102210022011221202000
4200302301221033012200
5243410224032140341
64443132524324000
7321545621325621
oct40626151170640
97872708157660
102253543240096
117997a4455835
123049030a3600
1313467b71c125
147b101ab7a48
153d946de58b6
hex20cb1a4f1a0

2253543240096 has 96 divisors (see below), whose sum is σ = 6575054270400. Its totient is φ = 750927386880.

The previous prime is 2253543240077. The next prime is 2253543240119. The reversal of 2253543240096 is 6900423453522.

2253543240096 is a `hidden beast` number, since 2 + 2 + 535 + 4 + 3 + 24 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22535432400963 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2127990 + ... + 3005898.

It is an arithmetic number, because the mean of its divisors is an integer number (68490148650).

Almost surely, 22253543240096 is an apocalyptic number.

It is an amenable number.

2253543240096 is an abundant number, since it is smaller than the sum of its proper divisors (4321511030304).

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

2253543240096 is a wasteful number, since it uses less digits than its factorization.

2253543240096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880899 (or 880885 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 2253543240096 in words is "two trillion, two hundred fifty-three billion, five hundred forty-three million, two hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2971 5942 8913 11884 17826 23768 26739 35652 47536 53478 71304 80217 95072 106956 142608 160434 213912 285216 320868 427824 641736 855648 877909 1283472 1755818 2566944 2633727 3511636 5267454 7023272 7901181 10534908 14046544 15802362 21069816 23703543 28093088 31604724 42139632 47407086 63209448 84279264 94814172 126418896 189628344 252837792 379256688 758513376 2608267639 5216535278 7824802917 10433070556 15649605834 20866141112 23474408751 31299211668 41732282224 46948817502 62598423336 70423226253 83464564448 93897635004 125196846672 140846452506 187795270008 250393693344 281692905012 375590540016 563385810024 751181080032 1126771620048 2253543240096