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18422099879040 = 27345111321910061
BaseRepresentation
bin1000011000001001110101…
…01110000010010010000000
32102020010122211000012110000
410030010322232002102000
54403311430032112130
6103102555034240000
73610644544213014
oct414047256022200
972203584005400
1018422099879040
1159628501338a0
1220963abb86000
13a38272b10400
144798c4ab0544
1521e303a5e260
hex10c13ab82480

18422099879040 has 1920 divisors, whose sum is σ = 81813212395200. Its totient is φ = 3905069875200.

The previous prime is 18422099879023. The next prime is 18422099879087. The reversal of 18422099879040 is 4097899022481.

18422099879040 is a `hidden beast` number, since 1 + 8 + 422 + 0 + 9 + 9 + 87 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1831035610 + ... + 1831045670.

Almost surely, 218422099879040 is an apocalyptic number.

18422099879040 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 18422099879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40906606197600).

18422099879040 is an abundant number, since it is smaller than the sum of its proper divisors (63391112516160).

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

18422099879040 is a wasteful number, since it uses less digits than its factorization.

18422099879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 18422099879040 in words is "eighteen trillion, four hundred twenty-two billion, ninety-nine million, eight hundred seventy-nine thousand, forty".