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104122460880 = 24345171949747
BaseRepresentation
bin110000011111000101…
…1101010101011010000
3100221202110210001110000
41200332023222223100
53201220322222010
6115455545410000
710344152212614
oct1407613525320
9327673701400
10104122460880
1140181461a69
121821a499900
139a8490a1c9
14507a771344
152a960ee7c0
hex183e2eaad0

104122460880 has 400 divisors, whose sum is σ = 403066255680. Its totient is φ = 24756793344.

The previous prime is 104122460879. The next prime is 104122460909. The reversal of 104122460880 is 88064221401.

104122460880 is a `hidden beast` number, since 1 + 0 + 41 + 2 + 2 + 4 + 608 + 8 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 2068167 + ... + 2117913.

Almost surely, 2104122460880 is an apocalyptic number.

104122460880 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 104122460880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201533127840).

104122460880 is an abundant number, since it is smaller than the sum of its proper divisors (298943794800).

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

104122460880 is a wasteful number, since it uses less digits than its factorization.

104122460880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49808 (or 49793 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 104122460880 in words is "one hundred four billion, one hundred twenty-two million, four hundred sixty thousand, eight hundred eighty".