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104208050826 = 23411198593583
BaseRepresentation
bin110000100001101001…
…0001010101010001010
3100221222102211110210000
41201003102022222022
53201404230111301
6115512244103430
710346241550155
oct1410322125212
9327872743700
10104208050826
1140215800a60
1218243094b76
139a99576a49
145087c90c9c
152a9d8a9786
hex184348aa8a

104208050826 has 160 divisors (see below), whose sum is σ = 268524748800. Its totient is φ = 29873020320.

The previous prime is 104208050813. The next prime is 104208050861. The reversal of 104208050826 is 628050802401.

104208050826 is a `hidden beast` number, since 10 + 42 + 0 + 80 + 508 + 26 = 666.

104208050826 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29082231 + ... + 29085813.

It is an arithmetic number, because the mean of its divisors is an integer number (1678279680).

Almost surely, 2104208050826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104208050826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134262374400).

104208050826 is an abundant number, since it is smaller than the sum of its proper divisors (164316697974).

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

104208050826 is a wasteful number, since it uses less digits than its factorization.

104208050826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 104208050826 in words is "one hundred four billion, two hundred eight million, fifty thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 162 171 198 209 297 342 418 513 594 627 859 891 1026 1254 1539 1718 1782 1881 2577 3078 3583 3762 5154 5643 7166 7731 9449 10749 11286 15462 16321 16929 18898 21498 23193 28347 32247 32642 33858 39413 46386 48963 56694 64494 68077 69579 78826 85041 96741 97926 118239 136154 139158 146889 170082 179531 193482 204231 236478 255123 290223 293778 354717 359062 408462 440667 510246 538593 580446 612693 709434 748847 765369 881334 1064151 1077186 1225386 1322001 1497694 1530738 1615779 1838079 2128302 2246541 2644002 3077797 3192453 3231558 3676158 4493082 4847337 5514237 6155594 6384906 6739623 9233391 9694674 11028474 13479246 14542011 18466782 20218869 27700173 29084022 33855767 40437738 55400346 58478143 60656607 67711534 83100519 101567301 116956286 121313214 166201038 175434429 203134602 249301557 304701903 350868858 498603114 526303287 609403806 643259573 914105709 1052606574 1286519146 1578909861 1828211418 1929778719 2742317127 3157819722 3859557438 4736729583 5484634254 5789336157 9473459166 11578672314 17368008471 34736016942 52104025413 104208050826