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104076683880 = 233513197338659
BaseRepresentation
bin110000011101101110…
…1000010101001101000
3100221122021122100012120
41200323131002221220
53201122112341010
6115451232311240
710343055134151
oct1407335025150
9327567570176
10104076683880
1140158636034
12182070a2520
139a782a0020
145074656928
152a920aae70
hex183b742a68

104076683880 has 128 divisors (see below), whose sum is σ = 337955587200. Its totient is φ = 25488755712.

The previous prime is 104076683849. The next prime is 104076683897. The reversal of 104076683880 is 88386670401.

It is a super-2 number, since 2×1040766838802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137991 + ... + 476649.

It is an arithmetic number, because the mean of its divisors is an integer number (2640278025).

Almost surely, 2104076683880 is an apocalyptic number.

104076683880 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 104076683880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168977793600).

104076683880 is an abundant number, since it is smaller than the sum of its proper divisors (233878903320).

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

104076683880 is a wasteful number, since it uses less digits than its factorization.

104076683880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338883 (or 338879 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 104076683880 in words is "one hundred four billion, seventy-six million, six hundred eighty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 197 260 312 390 394 520 591 780 788 985 1182 1560 1576 1970 2364 2561 2955 3940 4728 5122 5910 7683 7880 10244 11820 12805 15366 20488 23640 25610 30732 38415 51220 61464 76830 102440 153660 307320 338659 677318 1015977 1354636 1693295 2031954 2709272 3386590 4063908 4402567 5079885 6773180 8127816 8805134 10159770 13207701 13546360 17610268 20319540 22012835 26415402 35220536 40639080 44025670 52830804 66038505 66715823 88051340 105661608 132077010 133431646 176102680 200147469 264154020 266863292 333579115 400294938 528308040 533726584 667158230 800589876 867305699 1000737345 1334316460 1601179752 1734611398 2001474690 2601917097 2668632920 3469222796 4002949380 4336528495 5203834194 6938445592 8005898760 8673056990 10407668388 13009585485 17346113980 20815336776 26019170970 34692227960 52038341940 104076683880