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116183813760 = 273257431271
BaseRepresentation
bin110110000110100011…
…0000100111010000000
3102002220001100021010100
41230031012010322000
53400421024020020
6125212450202400
711252100060000
oct1541506047200
9362801307110
10116183813760
11453008089a3
121a625883400
13ac576a36c1
1458a25a0000
15304ee3da90
hex1b0d184e80

116183813760 has 960 divisors, whose sum is σ = 484916290560. Its totient is φ = 25604812800.

The previous prime is 116183813747. The next prime is 116183813771. The reversal of 116183813760 is 67318381611.

116183813760 is a `hidden beast` number, since 11 + 618 + 3 + 8 + 13 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 428722425 + ... + 428722695.

It is an arithmetic number, because the mean of its divisors is an integer number (505121136).

Almost surely, 2116183813760 is an apocalyptic number.

116183813760 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 116183813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242458145280).

116183813760 is an abundant number, since it is smaller than the sum of its proper divisors (368732476800).

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

116183813760 is an equidigital number, since it uses as much as digits as its factorization.

116183813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 116183813760 in words is "one hundred sixteen billion, one hundred eighty-three million, eight hundred thirteen thousand, seven hundred sixty".