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18500716080 = 243257112231319
BaseRepresentation
bin10001001110101110…
…101000011000110000
31202202100100202100200
4101032232220120300
5300342140403310
612255450315200
71223315330520
oct211656503060
952670322320
1018500716080
117934198900
123703a28b00
13198aba65a2
14c7712b680
157343139c0
hex44eba8630

18500716080 has 720 divisors, whose sum is σ = 81504783360. Its totient is φ = 3674373120.

The previous prime is 18500715997. The next prime is 18500716093. The reversal of 18500716080 is 8061700581.

18500716080 is a `hidden beast` number, since 1 + 8 + 500 + 71 + 6 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14025661 + ... + 14026979.

It is an arithmetic number, because the mean of its divisors is an integer number (113201088).

Almost surely, 218500716080 is an apocalyptic number.

18500716080 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 18500716080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40752391680).

18500716080 is an abundant number, since it is smaller than the sum of its proper divisors (63004067280).

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

18500716080 is a wasteful number, since it uses less digits than its factorization.

18500716080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 18500716080 in words is "eighteen billion, five hundred million, seven hundred sixteen thousand, eighty".