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18350115840 = 2103557343
BaseRepresentation
bin10001000101110000…
…001000110000000000
31202100211222110200000
4101011300020300000
5300040112201330
612232510400000
71216506261000
oct210560106000
952324873600
1018350115840
1178671866a1
123681500000
131965927414
14c61128000
15725eb6560
hex445c08c00

18350115840 has 1056 divisors, whose sum is σ = 78683404800. Its totient is φ = 4096770048.

The previous prime is 18350115793. The next prime is 18350115857. The reversal of 18350115840 is 4851105381.

18350115840 is a `hidden beast` number, since 18 + 3 + 50 + 11 + 584 + 0 = 666.

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 = 18350115795 and 18350115804.

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, 426746859 + ... + 426746901.

It is an arithmetic number, because the mean of its divisors is an integer number (74510800).

Almost surely, 218350115840 is an apocalyptic number.

18350115840 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 18350115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39341702400).

18350115840 is an abundant number, since it is smaller than the sum of its proper divisors (60333288960).

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

18350115840 is an frugal number, since it uses more digits than its factorization.

18350115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 18350115840 in words is "eighteen billion, three hundred fifty million, one hundred fifteen thousand, eight hundred forty".