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18641897120 = 25572111931367
BaseRepresentation
bin10001010111001001…
…001100011010100000
31210010012000111100002
4101113021030122200
5301134311201440
612321452315132
71226651340200
oct212711143240
953105014302
1018641897120
1179a6957250
123743172aa8
1319b1208372
14c8bb9c400
15741900115
hex45724c6a0

18641897120 has 576 divisors, whose sum is σ = 60894167040. Its totient is φ = 5312563200.

The previous prime is 18641897119. The next prime is 18641897137. The reversal of 18641897120 is 2179814681.

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, 50795177 + ... + 50795543.

It is an arithmetic number, because the mean of its divisors is an integer number (105719040).

Almost surely, 218641897120 is an apocalyptic number.

18641897120 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 18641897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30447083520).

18641897120 is an abundant number, since it is smaller than the sum of its proper divisors (42252269920).

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

18641897120 is a wasteful number, since it uses less digits than its factorization.

18641897120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 47.

The spelling of 18641897120 in words is "eighteen billion, six hundred forty-one million, eight hundred ninety-seven thousand, one hundred twenty".