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104304153600 = 2103115223
BaseRepresentation
bin110000100100100000…
…0110001010000000000
3100222020010200000000000
41201021000301100000
53202103330403400
6115530000000000
710351516451163
oct1411100612000
9328203600000
10104304153600
1140264a80439
121826b300000
139ab34546aa
145096949ada
152aa703e600
hex1849031400

104304153600 has 792 divisors, whose sum is σ = 404683056960. Its totient is φ = 26605117440.

The previous prime is 104304153593. The next prime is 104304153661. The reversal of 104304153600 is 6351403401.

104304153600 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 0 + 4 + 1 + 53 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4534963189 + ... + 4534963211.

Almost surely, 2104304153600 is an apocalyptic number.

104304153600 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 104304153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202341528480).

104304153600 is an abundant number, since it is smaller than the sum of its proper divisors (300378903360).

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

104304153600 is an frugal number, since it uses more digits than its factorization.

104304153600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 104304153600 in words is "one hundred four billion, three hundred four million, one hundred fifty-three thousand, six hundred".