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32116827143240 = 2357316529566717
BaseRepresentation
bin1110100110101110010000…
…00100101011110001001000
311012201100010220102101201022
413103113020010223301020
513202200230222040430
6152150133335212012
76523235626256360
oct723271004536110
9135640126371638
1032116827143240
11a262740702794
123728558517008
1314bc7b0733a38
147d0669a219a0
153aa6744214e5
hex1d35c812bc48

32116827143240 has 128 divisors (see below), whose sum is σ = 85263403161600. Its totient is φ = 10654623498240.

The previous prime is 32116827143221. The next prime is 32116827143267. The reversal of 32116827143240 is 4234172861123.

It is a Cunningham number, because it is equal to 56671712-1.

It is a junction number, because it is equal to n+sod(n) for n = 32116827143191 and 32116827143200.

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, 56388362 + ... + 56955078.

It is an arithmetic number, because the mean of its divisors is an integer number (666120337200).

Almost surely, 232116827143240 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 32116827143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42631701580800).

32116827143240 is an abundant number, since it is smaller than the sum of its proper divisors (53146576018360).

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

32116827143240 is a wasteful number, since it uses less digits than its factorization.

32116827143240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573295 (or 573291 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 32116827143240 in words is "thirty-two trillion, one hundred sixteen billion, eight hundred twenty-seven million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 6529 8680 13058 26116 32645 45703 52232 65290 91406 130580 182812 202399 228515 261160 365624 404798 457030 566717 809596 914060 1011995 1133434 1416793 1619192 1828120 2023990 2266868 2833585 2833586 3967019 4047980 4533736 5667170 5667172 7083965 7934038 8095960 11334340 11334344 14167930 15868076 17568227 19835095 22668680 28335860 31736152 35136454 39670190 56671720 70272908 79340380 87841135 122977589 140545816 158680760 175682270 245955178 351364540 491910356 614887945 702729080 983820712 1229775890 2459551780 3700095293 4919103560 7400190586 14800381172 18500476465 25900667051 29600762344 37000952930 51801334102 74001905860 103602668204 114702954083 129503335255 148003811720 207205336408 229405908166 259006670510 458811816332 518013341020 573514770415 802920678581 917623632664 1036026682040 1147029540830 1605841357162 2294059081660 3211682714324 4014603392905 4588118163320 6423365428648 8029206785810 16058413571620 32116827143240