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18972199680 = 28357719941
BaseRepresentation
bin10001101010110101…
…001100101100000000
31210222012112121021020
4101222311030230000
5302323340342210
612414332025440
71241102015340
oct215265145400
953865477236
1018972199680
118056348475
123815902280
131a34785a75
14cbd9bcd20
157608e7770
hex46ad4cb00

18972199680 has 288 divisors, whose sum is σ = 70230924288. Its totient is φ = 4274995200.

The previous prime is 18972199679. The next prime is 18972199717. The reversal of 18972199680 is 8699127981.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1903510 + ... + 1913450.

It is an arithmetic number, because the mean of its divisors is an integer number (243857376).

Almost surely, 218972199680 is an apocalyptic number.

18972199680 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 18972199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35115462144).

18972199680 is an abundant number, since it is smaller than the sum of its proper divisors (51258724608).

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

18972199680 is an equidigital number, since it uses as much as digits as its factorization.

18972199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10043 (or 10029 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 60.

The spelling of 18972199680 in words is "eighteen billion, nine hundred seventy-two million, one hundred ninety-nine thousand, six hundred eighty".