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132124312643532 = 2231117424313876721
BaseRepresentation
bin11110000010101010010110…
…101110001010011111001100
3122022210221221112000201222120
4132002222112232022133030
5114304211043014043112
61145001023222212540
736554444431224636
oct3602522656123714
9568727845021876
10132124312643532
113910a674017040
121299a6b0b84150
13589536662bca1
14248abcaa4da56
151041ccae5be8c
hex782a96b8a7cc

132124312643532 has 96 divisors (see below), whose sum is σ = 356183703800064. Its totient is φ = 37673629593600.

The previous prime is 132124312643489. The next prime is 132124312643669. The reversal of 132124312643532 is 235346213421231.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2582932 + ... + 16459652.

It is an arithmetic number, because the mean of its divisors is an integer number (3710246914584).

Almost surely, 2132124312643532 is an apocalyptic number.

132124312643532 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 132124312643532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178091851900032).

132124312643532 is an abundant number, since it is smaller than the sum of its proper divisors (224059391156532).

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

132124312643532 is a wasteful number, since it uses less digits than its factorization.

132124312643532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13880999 (or 13880997 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The spelling of 132124312643532 in words is "one hundred thirty-two trillion, one hundred twenty-four billion, three hundred twelve million, six hundred forty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 4243 8486 12729 16972 25458 46673 50916 72131 93346 140019 144262 186692 216393 280038 288524 432786 560076 793441 865572 1586882 2380323 3173764 4760646 9521292 13876721 27753442 41630163 55506884 83260326 152643931 166520652 235904257 305287862 457931793 471808514 610575724 707712771 915863586 943617028 1415425542 1831727172 2594946827 2830851084 5189893654 7784840481 10379787308 15569680962 31139361924 58878927203 117757854406 176636781609 235515708812 353273563218 647668199233 706547126436 1000941762451 1295336398466 1943004597699 2001883524902 2590672796932 3002825287353 3886009195398 4003767049804 6005650574706 7772018390796 11010359386961 12011301149412 22020718773922 33031078160883 44041437547844 66062156321766 132124312643532