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132768430460328 = 233131669254966951
BaseRepresentation
bin11110001100000010001111…
…001000101000110110101000
3122102002112112012100002200110
4132030002033020220312220
5114400234221144212303
61150212550330334320
736652126322306355
oct3614021710506650
9572075465302613
10132768430460328
1139338858802353
1212a834b288a3a0
1359110174a1720
1424b005232362c
15105392905a703
hex78c08f228da8

132768430460328 has 64 divisors (see below), whose sum is σ = 357667640265600. Its totient is φ = 40827347769600.

The previous prime is 132768430460249. The next prime is 132768430460389. The reversal of 132768430460328 is 823064034867231.

It is a super-2 number, since 2×1327684304603282 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126962748 + ... + 128004203.

It is an arithmetic number, because the mean of its divisors is an integer number (5588556879150).

Almost surely, 2132768430460328 is an apocalyptic number.

It is an amenable number.

132768430460328 is an abundant number, since it is smaller than the sum of its proper divisors (224899209805272).

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

132768430460328 is a wasteful number, since it uses less digits than its factorization.

132768430460328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254968642 (or 254968638 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 132768430460328 in words is "one hundred thirty-two trillion, seven hundred sixty-eight billion, four hundred thirty million, four hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1669 3338 5007 6676 10014 13352 20028 21697 40056 43394 65091 86788 130182 173576 260364 520728 254966951 509933902 764900853 1019867804 1529801706 2039735608 3059603412 3314570363 6119206824 6629140726 9943711089 13258281452 19887422178 26516562904 39774844356 79549688712 425539841219 851079682438 1276619523657 1702159364876 2553239047314 3404318729752 5106478094628 5532017935847 10212956189256 11064035871694 16596053807541 22128071743388 33192107615082 44256143486776 66384215230164 132768430460328