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18468183664 = 2474114992683
BaseRepresentation
bin10001001100110010…
…100001111001110000
31202200002010221021101
4101030302201321300
5300310323334124
612252325134144
71222441654030
oct211462417160
952602127241
1018468183664
117917898807
1236b4b5a354
131984225a38
14c72a9d8c0
15731539644
hex44cca1e70

18468183664 has 80 divisors (see below), whose sum is σ = 41934816000. Its totient is φ = 7713861120.

The previous prime is 18468183659. The next prime is 18468183667. The reversal of 18468183664 is 46638186481.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18468183667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6882067 + ... + 6884749.

It is an arithmetic number, because the mean of its divisors is an integer number (524185200).

Almost surely, 218468183664 is an apocalyptic number.

18468183664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18468183664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20967408000).

18468183664 is an abundant number, since it is smaller than the sum of its proper divisors (23466632336).

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

18468183664 is a wasteful number, since it uses less digits than its factorization.

18468183664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4238 (or 4232 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 55.

The spelling of 18468183664 in words is "eighteen billion, four hundred sixty-eight million, one hundred eighty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 1499 2296 2683 2998 4592 5366 5996 10493 10732 11992 18781 20986 21464 23984 37562 41972 42928 61459 75124 83944 110003 122918 150248 167888 220006 245836 300496 430213 440012 491672 770021 860426 880024 983344 1540042 1720852 1760048 3080084 3441704 4021817 6160168 6883408 8043634 12320336 16087268 28152719 32174536 56305438 64349072 112610876 164894497 225221752 329788994 450443504 659577988 1154261479 1319155976 2308522958 2638311952 4617045916 9234091832 18468183664