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104134303728 = 24347213231313
BaseRepresentation
bin110000011111011100…
…0110101111111110000
3100221210022001201210000
41200332320311333300
53201231340204403
6115501051310000
710344354656100
oct1407670657760
9327708051700
10104134303728
1140188110744
121822244b300
139a871c5800
14507c175200
152a9718d7a3
hex183ee35ff0

104134303728 has 900 divisors, whose sum is σ = 393144890688. Its totient is φ = 26493143040.

The previous prime is 104134303667. The next prime is 104134303733. The reversal of 104134303728 is 827303431401.

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

It is a junction number, because it is equal to n+sod(n) for n = 104134303692 and 104134303701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 332697300 + ... + 332697612.

Almost surely, 2104134303728 is an apocalyptic number.

104134303728 is a gapful number since it is divisible by the number (18) 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 104134303728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196572445344).

104134303728 is an abundant number, since it is smaller than the sum of its proper divisors (289010586960).

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

104134303728 is a wasteful number, since it uses less digits than its factorization.

104134303728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 104134303728 in words is "one hundred four billion, one hundred thirty-four million, three hundred three thousand, seven hundred twenty-eight".