Search a number
-
+
12352414642652 = 22723719114476163
BaseRepresentation
bin1011001111000000010101…
…0010010111000111011100
31121201212202000101212011202
42303300011102113013130
53104340221122031102
642134342042535032
72413301231031200
oct263600522270734
947655660355152
1012352414642652
113a326a2047997
121475b92807478
136b7a9b602936
14309c08002b00
151664abe3de02
hexb3c054971dc

12352414642652 has 144 divisors (see below), whose sum is σ = 25982977241088. Its totient is φ = 5119474389120.

The previous prime is 12352414642613. The next prime is 12352414642769. The reversal of 12352414642652 is 25624641425321.

It is a junction number, because it is equal to n+sod(n) for n = 12352414642597 and 12352414642606.

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, 2004282923 + ... + 2004289085.

It is an arithmetic number, because the mean of its divisors is an integer number (180437341952).

Almost surely, 212352414642652 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 12352414642652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12991488620544).

12352414642652 is an abundant number, since it is smaller than the sum of its proper divisors (13630562598436).

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

12352414642652 is a wasteful number, since it uses less digits than its factorization.

12352414642652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7856 (or 7847 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 47.

The spelling of 12352414642652 in words is "twelve trillion, three hundred fifty-two billion, four hundred fourteen million, six hundred forty-two thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 191 196 259 382 518 764 1036 1337 1447 1813 2674 2894 3626 5348 5788 6163 7067 7252 9359 10129 12326 14134 18718 20258 24652 28268 37436 40516 43141 49469 53539 70903 86282 98938 107078 141806 172564 197876 214156 228031 276377 283612 301987 346283 374773 456062 552754 603974 692566 749546 912124 1105508 1177133 1207948 1385132 1499092 1596217 1934639 2354266 2623411 3192434 3869278 4708532 5246822 6384868 7738556 8239931 8917861 10225949 10493644 11173519 13542473 16479862 17835722 20451898 22347038 27084946 32959724 35671444 40903796 43553921 44694076 54169892 57679517 62425027 71581643 87107842 115359034 124850054 143163286 174215684 230718068 249700108 286326572 304877447 329960857 436975189 501071501 609754894 659921714 873950378 1002143002 1219509788 1319843428 1703311451 1747900756 2004286004 2134142129 2309725999 3406622902 4268284258 4619451998 6813245804 8536568516 9238903996 11923180157 16168081993 23846360314 32336163986 47692720628 63022523687 64672327972 83462261099 126045047374 166924522198 252090094748 333849044396 441157665809 882315331618 1764630663236 3088103660663 6176207321326 12352414642652