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104465350080 = 2636572131937
BaseRepresentation
bin110000101001010011…
…1101011110111000000
3100222122100222122000000
41201102213223313000
53202421112200310
6115553555000000
710355514552600
oct1412247536700
9328570878000
10104465350080
1140337a6a773
12182b5299000
139b0a973920
1450b010ac00
152ab62814c0
hex18529ebdc0

104465350080 has 2352 divisors, whose sum is σ = 505116571680. Its totient is φ = 20316635136.

The previous prime is 104465350039. The next prime is 104465350091. The reversal of 104465350080 is 80053564401.

It is a happy number.

104465350080 is a `hidden beast` number, since 1 + 0 + 4 + 46 + 535 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2823387822 + ... + 2823387858.

Almost surely, 2104465350080 is an apocalyptic number.

104465350080 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 104465350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252558285840).

104465350080 is an abundant number, since it is smaller than the sum of its proper divisors (400651221600).

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

104465350080 is a wasteful number, since it uses less digits than its factorization.

104465350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 104465350080 in words is "one hundred four billion, four hundred sixty-five million, three hundred fifty thousand, eighty".