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18360235008 = 210341729449
BaseRepresentation
bin10001000110010110…
…101111010000000000
31202101120000120120000
4101012112233100000
5300100210010013
612233511320000
71216661264643
oct210626572000
952346016500
1018360235008
117871968345
123684980000
131967a5b2ab
14c625dda5a
15726d14973
hex4465af400

18360235008 has 440 divisors, whose sum is σ = 60187941000. Its totient is φ = 5549064192.

The previous prime is 18360234961. The next prime is 18360235031. The reversal of 18360235008 is 80053206381.

18360235008 is a `hidden beast` number, since 18 + 3 + 602 + 35 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6001910784 + 12358324224 = 77472^2 + 111168^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40891168 + ... + 40891616.

It is an arithmetic number, because the mean of its divisors is an integer number (136790775).

Almost surely, 218360235008 is an apocalyptic number.

18360235008 is a gapful number since it is divisible by the number (18) 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 18360235008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30093970500).

18360235008 is an abundant number, since it is smaller than the sum of its proper divisors (41827705992).

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

18360235008 is a wasteful number, since it uses less digits than its factorization.

18360235008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 18360235008 in words is "eighteen billion, three hundred sixty million, two hundred thirty-five thousand, eight".