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18516834144 = 253321431521
BaseRepresentation
bin10001001111101100…
…000111011101100000
31202210110200122012000
4101033230013131200
5300410302143034
612301224004000
71223602331124
oct211754073540
952713618160
1018516834144
1179422a7616
123709300600
13199132aac3
14c79325584
15735949599
hex44fb07760

18516834144 has 48 divisors (see below), whose sum is σ = 54007435440. Its totient is φ = 6172277760.

The previous prime is 18516834143. The next prime is 18516834187. The reversal of 18516834144 is 44143861581.

18516834144 is a `hidden beast` number, since 18 + 516 + 83 + 4 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18516834144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18516834143) 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 7 ways as a sum of consecutive naturals, for example, 10714897 + ... + 10716624.

It is an arithmetic number, because the mean of its divisors is an integer number (1125154905).

Almost surely, 218516834144 is an apocalyptic number.

It is an amenable number.

18516834144 is an abundant number, since it is smaller than the sum of its proper divisors (35490601296).

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

18516834144 is a wasteful number, since it uses less digits than its factorization.

18516834144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21431540 (or 21431526 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 18516834144 in words is "eighteen billion, five hundred sixteen million, eight hundred thirty-four thousand, one hundred forty-four".

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 21431521 42863042 64294563 85726084 128589126 171452168 192883689 257178252 342904336 385767378 514356504 578651067 685808672 771534756 1028713008 1157302134 1543069512 2057426016 2314604268 3086139024 4629208536 6172278048 9258417072 18516834144