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132251664406524 = 2231317394712634571
BaseRepresentation
bin11110000100100000111101…
…011110100101011111111100
3122100021010122212211121101020
4132010200331132211133330
5114313302402042002044
61145135324220344140
736566603350315455
oct3604407536453774
9570233585747336
10132251664406524
1139159685844543
12129bb3129a5050
1358a4380971a70
14249302c51c12c
151045281562a19
hex78483d7a57fc

132251664406524 has 96 divisors (see below), whose sum is σ = 351962384046336. Its totient is φ = 38289418152960.

The previous prime is 132251664406517. The next prime is 132251664406529. The reversal of 132251664406524 is 425604466152231.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132251664406529) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4150159 + ... + 16784729.

It is an arithmetic number, because the mean of its divisors is an integer number (3666274833816).

Almost surely, 2132251664406524 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 132251664406524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175981192023168).

132251664406524 is an abundant number, since it is smaller than the sum of its proper divisors (219710719639812).

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

132251664406524 is a wasteful number, since it uses less digits than its factorization.

132251664406524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12638555 (or 12638553 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 51.

The spelling of 132251664406524 in words is "one hundred thirty-two trillion, two hundred fifty-one billion, six hundred sixty-four million, four hundred six thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 3947 7894 11841 15788 23682 47364 51311 67099 102622 134198 153933 201297 205244 268396 307866 402594 615732 805188 872287 1744574 2616861 3489148 5233722 10467444 12634571 25269142 37903713 50538284 75807426 151614852 164249423 214787707 328498846 429575414 492748269 644363121 656997692 859150828 985496538 1288726242 1970993076 2577452484 2792240191 5584480382 8376720573 11168960764 16753441146 33506882292 49868651737 99737303474 149605955211 199474606948 299211910422 598423820844 648292472581 847767079529 1296584945162 1695534159058 1944877417743 2543301238587 2593169890324 3391068318116 3889754835486 5086602477174 7779509670972 10173204954348 11020972033877 22041944067754 33062916101631 44083888135508 66125832203262 132251664406524