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18482016160 = 2552327718131
BaseRepresentation
bin10001001101100111…
…010010111110100000
31202201001011200220001
4101031213102332200
5300322344004120
612253541425344
71223000355016
oct211547227640
952631150801
1018482016160
117924686323
1236b970b254
131987059b4a
14c748608b6
1573286ce0a
hex44d9d2fa0

18482016160 has 96 divisors (see below), whose sum is σ = 45729194112. Its totient is φ = 7045463040.

The previous prime is 18482016127. The next prime is 18482016169. The reversal of 18482016160 is 6161028481.

It is a super-2 number, since 2×184820161602 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18482016169) 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 15 ways as a sum of consecutive naturals, for example, 1010295 + ... + 1028425.

It is an arithmetic number, because the mean of its divisors is an integer number (476345772).

Almost surely, 218482016160 is an apocalyptic number.

18482016160 is a gapful number since it is divisible by the number (10) 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 18482016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22864597056).

18482016160 is an abundant number, since it is smaller than the sum of its proper divisors (27247177952).

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

18482016160 is a wasteful number, since it uses less digits than its factorization.

18482016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18446 (or 18438 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The spelling of 18482016160 in words is "eighteen billion, four hundred eighty-two million, sixteen thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 277 368 460 554 736 920 1108 1385 1840 2216 2770 3680 4432 5540 6371 8864 11080 12742 18131 22160 25484 31855 36262 44320 50968 63710 72524 90655 101936 127420 145048 181310 203872 254840 290096 362620 417013 509680 580192 725240 834026 1019360 1450480 1668052 2085065 2900960 3336104 4170130 5022287 6672208 8340260 10044574 13344416 16680520 20089148 25111435 33361040 40178296 50222870 66722080 80356592 100445740 115512601 160713184 200891480 231025202 401782960 462050404 577563005 803565920 924100808 1155126010 1848201616 2310252020 3696403232 4620504040 9241008080 18482016160