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104445728520 = 23357294718757
BaseRepresentation
bin110000101000101110…
…0110101011100001000
3100222121000001202021120
41201101130311130020
53202401101303040
6115552014235240
710355156021100
oct1412134653410
9328530052246
10104445728520
1140327988801
12182aa7b5b20
139b06893833
1450ab680200
152ab46a77d0
hex1851735708

104445728520 has 192 divisors, whose sum is σ = 364898623680. Its totient is φ = 23846828544.

The previous prime is 104445728509. The next prime is 104445728551. The reversal of 104445728520 is 25827544401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5558982 + ... + 5577738.

It is an arithmetic number, because the mean of its divisors is an integer number (1900513665).

Almost surely, 2104445728520 is an apocalyptic number.

104445728520 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 104445728520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182449311840).

104445728520 is an abundant number, since it is smaller than the sum of its proper divisors (260452895160).

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

104445728520 is a wasteful number, since it uses less digits than its factorization.

104445728520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19732 (or 19721 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 42.

The spelling of 104445728520 in words is "one hundred four billion, four hundred forty-five million, seven hundred twenty-eight thousand, five hundred twenty".