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132966340728 = 233132959249079
BaseRepresentation
bin111101111010101101…
…0010101100001111000
3110201012122121222010020
41323311122111201320
54134303340400403
6141030042050440
712415013151024
oct1736532254170
9421178558106
10132966340728
115143303a8a1
122192a1a9a20
13c700602630
14661542d384
1536d34a9453
hex1ef5695878

132966340728 has 128 divisors (see below), whose sum is σ = 376608960000. Its totient is φ = 38832256512.

The previous prime is 132966340679. The next prime is 132966340739. The reversal of 132966340728 is 827043669231.

It is a congruent number.

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, 409293 + ... + 658371.

It is an arithmetic number, because the mean of its divisors is an integer number (2942257500).

Almost surely, 2132966340728 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 132966340728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188304480000).

132966340728 is an abundant number, since it is smaller than the sum of its proper divisors (243642619272).

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

132966340728 is a wasteful number, since it uses less digits than its factorization.

132966340728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249189 (or 249185 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 132966340728 in words is "one hundred thirty-two billion, nine hundred sixty-six million, three hundred forty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 59 78 87 104 116 118 156 174 177 232 236 312 348 354 377 472 696 708 754 767 1131 1416 1508 1534 1711 2262 2301 3016 3068 3422 4524 4602 5133 6136 6844 9048 9204 10266 13688 18408 20532 22243 41064 44486 66729 88972 133458 177944 249079 266916 498158 533832 747237 996316 1494474 1992632 2988948 3238027 5977896 6476054 7223291 9714081 12952108 14446582 14695661 19428162 21669873 25904216 28893164 29391322 38856324 43339746 44086983 57786328 58782644 77712648 86679492 88173966 93902783 117565288 173358984 176347932 187805566 191043593 281708349 352695864 375611132 382087186 426174169 563416698 573130779 751222264 764174372 852348338 1126833396 1146261558 1278522507 1528348744 1704696676 2253666792 2292523116 2557045014 3409393352 4585046232 5114090028 5540264197 10228180056 11080528394 16620792591 22161056788 33241585182 44322113576 66483170364 132966340728