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104084507700 = 223252176802909
BaseRepresentation
bin110000011101111101…
…0111000110000110100
3100221122211100211110200
41200323322320300310
53201131113221300
6115452112120500
710343211501135
oct1407372706064
9327584324420
10104084507700
1140161a9a1a8
1218209836130
139a79aac1c4
1450756d1c8c
152a92b04200
hex183beb8c34

104084507700 has 108 divisors (see below), whose sum is σ = 345438163980. Its totient is φ = 26123166720.

The previous prime is 104084507687. The next prime is 104084507743. The reversal of 104084507700 is 7705480401.

104084507700 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 84 + 507 + 70 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3486430116 + 100598077584 = 59046^2 + 317172^2 .

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

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3386155 + ... + 3416754.

Almost surely, 2104084507700 is an apocalyptic number.

104084507700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104084507700 is an abundant number, since it is smaller than the sum of its proper divisors (241353656280).

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

104084507700 is a wasteful number, since it uses less digits than its factorization.

104084507700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802946 (or 6802936 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 104084507700 in words is "one hundred four billion, eighty-four million, five hundred seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1530 1700 2550 3060 3825 5100 7650 15300 6802909 13605818 20408727 27211636 34014545 40817454 61226181 68029090 81634908 102043635 115649453 122452362 136058180 170072725 204087270 231298906 244904724 306130905 340145450 346948359 408174540 462597812 510218175 578247265 612261810 680290900 693896718 1020436350 1040845077 1156494530 1224523620 1387793436 1530654525 1734741795 2040872700 2081690154 2312989060 2891236325 3061309050 3469483590 4163380308 5204225385 5782472650 6122618100 6938967180 8673708975 10408450770 11564945300 17347417950 20816901540 26021126925 34694835900 52042253850 104084507700