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12183801983052 = 2237432531480099
BaseRepresentation
bin1011000101001100001100…
…1100000111000001001100
31121010202112002221021022020
42301103003030013001030
53044104411301424202
641525054504250140
72365151654051220
oct261230314070114
947122462837266
1012183801983052
113978137652137
121449376770950
136a4c09c1403b
143019b0704780
15161dde2d75bc
hexb14c330704c

12183801983052 has 144 divisors (see below), whose sum is σ = 33890927212800. Its totient is φ = 3335975121024.

The previous prime is 12183801983039. The next prime is 12183801983099. The reversal of 12183801983052 is 25038910838121.

It is a junction number, because it is equal to n+sod(n) for n = 12183801982986 and 12183801983004.

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 47 ways as a sum of consecutive naturals, for example, 7491699 + ... + 8971797.

It is an arithmetic number, because the mean of its divisors is an integer number (235353661200).

Almost surely, 212183801983052 is an apocalyptic number.

12183801983052 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 12183801983052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16945463606400).

12183801983052 is an abundant number, since it is smaller than the sum of its proper divisors (21707125229748).

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

12183801983052 is a wasteful number, since it uses less digits than its factorization.

12183801983052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480252 (or 1480207 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 12183801983052 in words is "twelve trillion, one hundred eighty-three billion, eight hundred one million, nine hundred eighty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 53 84 86 106 129 159 172 212 258 301 318 371 516 602 636 742 903 1113 1204 1484 1806 1849 2226 2279 3612 3698 4452 4558 5547 6837 7396 9116 11094 12943 13674 15953 22188 25886 27348 31906 38829 47859 51772 63812 77658 95718 97997 155316 191436 195994 293991 391988 587982 685979 1175964 1371958 1480099 2057937 2743916 2960198 4115874 4440297 5920396 8231748 8880594 10360693 17761188 20721386 31082079 41442772 62164158 63644257 78445247 124328316 127288514 156890494 190932771 235335741 254577028 313780988 381865542 445509799 470671482 549116729 763731084 891019598 941342964 1098233458 1336529397 1647350187 1782039196 2196466916 2673058794 2736703051 3294700374 3373145621 5346117588 5473406102 6589400748 6746291242 8210109153 10119436863 10946812204 13492582484 16420218306 19156921357 20238873726 23612019347 32840436612 38313842714 40477747452 47224038694 57470764071 70836058041 76627685428 94448077388 114941528142 141672116082 145045261703 229883056284 283344232164 290090523406 435135785109 580181046812 870271570218 1015316831921 1740543140436 2030633663842 3045950495763 4061267327684 6091900991526 12183801983052