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18820305160 = 2352925936257
BaseRepresentation
bin10001100001110001…
…110001000100001000
31210120121201120011021
4101201301301010020
5302020444231120
612351304242224
71234245645226
oct214161610410
953517646137
1018820305160
117a88631908
123792a70374
131a0c172757
14ca775db16
157523e1aaa
hex461c71108

18820305160 has 64 divisors (see below), whose sum is σ = 43829780400. Its totient is φ = 7264567296.

The previous prime is 18820305137. The next prime is 18820305187. The reversal of 18820305160 is 6150302881.

It can be written as a sum of positive squares in 8 ways, for example, as 15263614116 + 3556691044 = 123546^2 + 59638^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3004752 + ... + 3011008.

Almost surely, 218820305160 is an apocalyptic number.

18820305160 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 18820305160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21914890200).

18820305160 is an abundant number, since it is smaller than the sum of its proper divisors (25009475240).

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

18820305160 is a wasteful number, since it uses less digits than its factorization.

18820305160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8890 (or 8886 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 18820305160 in words is "eighteen billion, eight hundred twenty million, three hundred five thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2593 5186 6257 10372 12514 12965 20744 25028 25930 31285 50056 51860 62570 75197 103720 125140 150394 181453 250280 300788 362906 375985 601576 725812 751970 907265 1451624 1503940 1814530 3007880 3629060 7258120 16224401 32448802 64897604 81122005 129795208 162244010 324488020 470507629 648976040 941015258 1882030516 2352538145 3764061032 4705076290 9410152580 18820305160