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104542625340 = 223252687216149
BaseRepresentation
bin110000101011100111…
…0011101111000111100
3100222211202101121201200
41201113032131320330
53203100403002330
6120005355135500
710360443440106
oct1412716357074
9328752347650
10104542625340
114037764a81a
1218317144590
139b2098ba2a
1450ba4a4576
152abce47a60
hex185739de3c

104542625340 has 72 divisors (see below), whose sum is σ = 317232115200. Its totient is φ = 27867529344.

The previous prime is 104542625333. The next prime is 104542625377. The reversal of 104542625340 is 43526245401.

104542625340 is a `hidden beast` number, since 1 + 0 + 4 + 54 + 262 + 5 + 340 = 666.

It is a super-3 number, since 3×1045426253403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 104542625295 and 104542625304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375586 + ... + 591734.

It is an arithmetic number, because the mean of its divisors is an integer number (4406001600).

Almost surely, 2104542625340 is an apocalyptic number.

104542625340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104542625340 is an abundant number, since it is smaller than the sum of its proper divisors (212689489860).

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

104542625340 is a wasteful number, since it uses less digits than its factorization.

104542625340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218851 (or 218846 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 104542625340 in words is "one hundred four billion, five hundred forty-two million, six hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2687 5374 8061 10748 13435 16122 24183 26870 32244 40305 48366 53740 80610 96732 120915 161220 216149 241830 432298 483660 648447 864596 1080745 1296894 1945341 2161490 2593788 3242235 3890682 4322980 6484470 7781364 9726705 12968940 19453410 38906820 580792363 1161584726 1742377089 2323169452 2903961815 3484754178 5227131267 5807923630 6969508356 8711885445 10454262534 11615847260 17423770890 20908525068 26135656335 34847541780 52271312670 104542625340