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104185591760 = 2452415403817
BaseRepresentation
bin110000100000111110…
…0011111011111010000
3100221220212120102201202
41201001330133133100
53201333002414020
6115510122450332
710345546626635
oct1410174373720
9327825512652
10104185591760
1140204061148
12182376639a8
139a94a12263
145084cc618c
152a9b91ee75
hex1841f1f7d0

104185591760 has 40 divisors (see below), whose sum is σ = 243236655816. Its totient is φ = 41501306880.

The previous prime is 104185591759. The next prime is 104185591801. The reversal of 104185591760 is 67195581401.

It can be written as a sum of positive squares in 4 ways, for example, as 4364980624 + 99820611136 = 66068^2 + 315944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2682629 + ... + 2721188.

Almost surely, 2104185591760 is an apocalyptic number.

104185591760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104185591760 is an abundant number, since it is smaller than the sum of its proper divisors (139051064056).

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

104185591760 is a wasteful number, since it uses less digits than its factorization.

104185591760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404071 (or 5404065 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 47.

The spelling of 104185591760 in words is "one hundred four billion, one hundred eighty-five million, five hundred ninety-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 241 482 964 1205 1928 2410 3856 4820 9640 19280 5403817 10807634 21615268 27019085 43230536 54038170 86461072 108076340 216152680 432305360 1302319897 2604639794 5209279588 6511599485 10418559176 13023198970 20837118352 26046397940 52092795880 104185591760