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116281859142852 = 2232132922213857621
BaseRepresentation
bin11010011100000111111010…
…111010000111010011000100
3120020201102210200210100001100
4122130013322322013103010
5110220130221420032402
61051151052034300100
733331041604311144
oct3234077272072304
9506642720710040
10116281859142852
113406195002a417
1211060253427630
134cb6441cb2050
1420a010185a924
15d69b5842a71c
hex69c1fae874c4

116281859142852 has 144 divisors (see below), whose sum is σ = 327607931130480. Its totient is φ = 34529710924800.

The previous prime is 116281859142769. The next prime is 116281859142863. The reversal of 116281859142852 is 258241958182611.

It is a happy number.

116281859142852 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 18 + 591 + 4 + 28 + 5 + 2 = 666.

116281859142852 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6821217168516 + 109460641974336 = 2611746^2 + 10462344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 116281859142852.

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, 28214602 + ... + 32072222.

It is an arithmetic number, because the mean of its divisors is an integer number (2275055077295).

Almost surely, 2116281859142852 is an apocalyptic number.

116281859142852 is a gapful number since it is divisible by the number (12) 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 116281859142852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163803965565240).

116281859142852 is an abundant number, since it is smaller than the sum of its proper divisors (211326071987628).

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

116281859142852 is a wasteful number, since it uses less digits than its factorization.

116281859142852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859894 (or 3859889 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 63.

The spelling of 116281859142852 in words is "one hundred sixteen trillion, two hundred eighty-one billion, eight hundred fifty-nine million, one hundred forty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2221 2262 3393 4442 4524 6663 6786 8884 13326 13572 19989 26652 28873 39978 57746 64409 79956 86619 115492 128818 173238 193227 257636 259857 346476 386454 519714 579681 772908 837317 1039428 1159362 1674634 2318724 2511951 3349268 3857621 5023902 7535853 7715242 10047804 11572863 15071706 15430484 23145726 30143412 34718589 46291452 50149073 69437178 100298146 111871009 138874356 150447219 200596292 223742018 300894438 335613027 447484036 451341657 601788876 671226054 902683314 1006839081 1342452108 1454323117 1805366628 2013678162 2908646234 4027356324 4362969351 5817292468 8567776241 8725938702 13088908053 17135552482 17451877404 25703328723 26177816106 34271104964 51406657446 52355632212 77109986169 102813314892 111381091133 154219972338 222762182266 248465510989 308439944676 334143273399 445524364532 496931021978 668286546798 745396532967 993862043956 1002429820197 1336573093596 1490793065934 2004859640394 2236189598901 2981586131868 3230051642857 4009719280788 4472379197802 6460103285714 8944758395604 9690154928571 12920206571428 19380309857142 29070464785713 38760619714284 58140929571426 116281859142852