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18368080416 = 2532722356591
BaseRepresentation
bin10001000110110100…
…101010101000100000
31202102002210011102200
4101012310222220200
5300104212033131
612234351413200
71220115051600
oct210664525040
952362704380
1018368080416
117876336754
123687524200
13196957724a
14c63682c00
157278642e6
hex446d2aa20

18368080416 has 216 divisors, whose sum is σ = 63405224064. Its totient is φ = 5019759360.

The previous prime is 18368080411. The next prime is 18368080429. The reversal of 18368080416 is 61408086381.

It is a happy number.

18368080416 is a `hidden beast` number, since 1 + 83 + 6 + 80 + 80 + 416 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18368080411) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 296281 + ... + 352871.

It is an arithmetic number, because the mean of its divisors is an integer number (293542704).

Almost surely, 218368080416 is an apocalyptic number.

18368080416 is a gapful number since it is divisible by the number (16) 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 18368080416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31702612032).

18368080416 is an abundant number, since it is smaller than the sum of its proper divisors (45037143648).

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

18368080416 is a wasteful number, since it uses less digits than its factorization.

18368080416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56644 (or 56626 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18368080416 in words is "eighteen billion, three hundred sixty-eight million, eighty thousand, four hundred sixteen".