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18936831780 = 22335181313619
BaseRepresentation
bin10001101000101110…
…010001111100100100
31210212201222201122000
4101220232101330210
5302240312104110
612411030005300
71240162262046
oct215056217444
953781881560
1018936831780
118038390aa9
123805aa6830
131a2a351709
14cb9013a96
1575c75d1c0
hex468b91f24

18936831780 has 192 divisors, whose sum is σ = 59525356800. Its totient is φ = 4997790720.

The previous prime is 18936831779. The next prime is 18936831803. The reversal of 18936831780 is 8713863981.

18936831780 is a `hidden beast` number, since 189 + 368 + 31 + 78 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 30592311 + ... + 30592929.

It is an arithmetic number, because the mean of its divisors is an integer number (310027900).

Almost surely, 218936831780 is an apocalyptic number.

18936831780 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 18936831780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29762678400).

18936831780 is an abundant number, since it is smaller than the sum of its proper divisors (40588525020).

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

18936831780 is a wasteful number, since it uses less digits than its factorization.

18936831780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 18936831780 in words is "eighteen billion, nine hundred thirty-six million, eight hundred thirty-one thousand, seven hundred eighty".