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18680094720 = 213335719127
BaseRepresentation
bin10001011001011010…
…111010000000000000
31210012211220010121000
4101121122322000000
5301224101012340
612325335132000
71230624120360
oct213132720000
953184803530
1018680094720
117a16476711
123753b14000
1319b90c06b1
14c92ca29a0
15744e47d30
hex4596ba000

18680094720 has 896 divisors, whose sum is σ = 80525721600. Its totient is φ = 4013162496.

The previous prime is 18680094707. The next prime is 18680094737. The reversal of 18680094720 is 2749008681.

It is a tau number, because it is divible by the number of its divisors (896).

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 63 ways as a sum of consecutive naturals, for example, 147087297 + ... + 147087423.

Almost surely, 218680094720 is an apocalyptic number.

18680094720 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 18680094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40262860800).

18680094720 is an abundant number, since it is smaller than the sum of its proper divisors (61845626880).

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

18680094720 is a wasteful number, since it uses less digits than its factorization.

18680094720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 18680094720 in words is "eighteen billion, six hundred eighty million, ninety-four thousand, seven hundred twenty".