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18198282240 = 21432524683
BaseRepresentation
bin10000111100101100…
…111100000000000000
31201222021021112010100
4100330230330000000
5244232230012430
612205444202400
71212653563305
oct207454740000
951867245110
1018198282240
117799501886
12363a699400
131940335a58
14c48cc30ac
157179c3960
hex43cb3c000

18198282240 has 180 divisors, whose sum is σ = 63088008984. Its totient is φ = 4852678656.

The previous prime is 18198282197. The next prime is 18198282293. The reversal of 18198282240 is 4228289181.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 724939 + ... + 749621.

Almost surely, 218198282240 is an apocalyptic number.

18198282240 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 18198282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31544004492).

18198282240 is an abundant number, since it is smaller than the sum of its proper divisors (44889726744).

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

18198282240 is an equidigital number, since it uses as much as digits as its factorization.

18198282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24722 (or 24693 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 18198282240 in words is "eighteen billion, one hundred ninety-eight million, two hundred eighty-two thousand, two hundred forty".