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18139343040 = 2633571323071
BaseRepresentation
bin10000111001001100…
…000110100011000000
31201211011101002202000
4100321030012203000
5244122132434130
612155541024000
71211336605020
oct207114064300
951734332660
1018139343040
1177692059a5
1236229b5000
13193106a8a0
14c4113da80
15712730260
hex4393068c0

18139343040 has 448 divisors, whose sum is σ = 78762270720. Its totient is φ = 3827036160.

The previous prime is 18139343039. The next prime is 18139343051. The reversal of 18139343040 is 4034393181.

18139343040 is a `hidden beast` number, since 181 + 3 + 9 + 3 + 430 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 18139342986 and 18139343004.

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, 774705 + ... + 797775.

It is an arithmetic number, because the mean of its divisors is an integer number (175808640).

Almost surely, 218139343040 is an apocalyptic number.

18139343040 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 18139343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39381135360).

18139343040 is an abundant number, since it is smaller than the sum of its proper divisors (60622927680).

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

18139343040 is a wasteful number, since it uses less digits than its factorization.

18139343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23117 (or 23101 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 18139343040 in words is "eighteen billion, one hundred thirty-nine million, three hundred forty-three thousand, forty".