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18189239040 = 283357223467
BaseRepresentation
bin10000111100001010…
…011100001100000000
31201221122021002012000
4100330022130030000
5244222421122130
612204522304000
71212513660300
oct207412341400
951848232160
1018189239040
117794395565
123637658000
13193b4ba84b
14c47a0b600
15716cd9260
hex43c29c300

18189239040 has 864 divisors, whose sum is σ = 78517071360. Its totient is φ = 3968262144.

The previous prime is 18189239039. The next prime is 18189239053. The reversal of 18189239040 is 4093298181.

18189239040 is a `hidden beast` number, since 181 + 89 + 2 + 390 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38948887 + ... + 38949353.

It is an arithmetic number, because the mean of its divisors is an integer number (90876240).

Almost surely, 218189239040 is an apocalyptic number.

18189239040 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 18189239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39258535680).

18189239040 is an abundant number, since it is smaller than the sum of its proper divisors (60327832320).

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

18189239040 is a wasteful number, since it uses less digits than its factorization.

18189239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 18189239040 in words is "eighteen billion, one hundred eighty-nine million, two hundred thirty-nine thousand, forty".