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86234313832436 = 227211195419388471
BaseRepresentation
bin10011100110110111111101…
…101001001011011111110100
3102022022220211121012120000102
4103212313331221023133310
542300330333320114221
6503223255154133232
724110136454261400
oct2346677551133764
9368286747176012
1086234313832436
11255278490419a0
129808955281218
133916b26529833
141741a97b98100
159e824453730b
hex4e6dfda4b7f4

86234313832436 has 144 divisors (see below), whose sum is σ = 201624426662400. Its totient is φ = 31823524555200.

The previous prime is 86234313832393. The next prime is 86234313832483. The reversal of 86234313832436 is 63423831343268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221789681 + ... + 222178151.

It is an arithmetic number, because the mean of its divisors is an integer number (1400169629600).

Almost surely, 286234313832436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86234313832436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100812213331200).

86234313832436 is an abundant number, since it is smaller than the sum of its proper divisors (115390112829964).

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

86234313832436 is a wasteful number, since it uses less digits than its factorization.

86234313832436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393938 (or 393929 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 56.

The spelling of 86234313832436 in words is "eighty-six trillion, two hundred thirty-four billion, three hundred thirteen million, eight hundred thirty-two thousand, four hundred thirty-six".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 49 76 77 98 133 154 196 209 266 308 418 532 539 836 931 1078 1463 1862 2156 2926 3724 5419 5852 10241 10838 20482 21676 37933 40964 59609 75866 102961 119218 151732 205922 238436 265531 388471 411844 417263 531062 720727 776942 834526 1062124 1132571 1441454 1553884 1669052 2265142 2719297 2882908 2920841 4273181 4530284 5045089 5438594 5841682 7380949 7927997 8546362 10090178 10877188 11683364 14761898 15855994 17092724 19035079 20180356 29523796 29912267 31711988 38070158 51666643 55495979 59824534 76140316 81190439 103333286 110991958 119649068 162380878 206666572 209385869 221983916 324761756 361666501 418771738 568333073 723333002 837543476 1136666146 1446666004 2105124349 2273332292 3978331511 4210248698 7956663022 8420497396 14735870443 15913326044 23156367839 29471740886 39997362631 46312735678 58943481772 79994725262 92625471356 103151093101 159989450524 162094574873 206302186202 279981538417 324189149746 412604372404 439970988941 559963076834 648378299492 879941977882 1119926153668 1134662024111 1759883955764 1959870768919 2269324048222 3079796922587 3919741537838 4538648096444 6159593845174 7839483075676 12319187690348 21558578458109 43117156916218 86234313832436