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99876523140 = 223252210925097
BaseRepresentation
bin101110100000100011…
…0101100110010000100
3100112210120022001211200
41131001012230302010
53114021342220030
6113514352302500
710134014303442
oct1350106546204
9315716261750
1099876523140
11393a276a109
1217434541a30
139559069104
144b968bbb92
1528e8498d60
hex17411acc84

99876523140 has 72 divisors (see below), whose sum is σ = 302984561880. Its totient is φ = 26631473664.

The previous prime is 99876523133. The next prime is 99876523177. The reversal of 99876523140 is 4132567899.

99876523140 is a `hidden beast` number, since 9 + 9 + 8 + 76 + 523 + 1 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 298116 + 99876225024 = 546^2 + 316032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3967072 + ... + 3992168.

It is an arithmetic number, because the mean of its divisors is an integer number (4208118915).

It is a 2-persistent number, because it is pandigital, and so is 2⋅99876523140 = 199753046280, but 3⋅99876523140 = 299629569420 is not.

Almost surely, 299876523140 is an apocalyptic number.

99876523140 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99876523140 is an abundant number, since it is smaller than the sum of its proper divisors (203108038740).

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

99876523140 is a wasteful number, since it uses less digits than its factorization.

99876523140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47221 (or 47216 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 99876523140 in words is "ninety-nine billion, eight hundred seventy-six million, five hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22109 25097 44218 50194 66327 75291 88436 100388 110545 125485 132654 150582 198981 221090 225873 250970 265308 301164 331635 376455 397962 442180 451746 501940 663270 752910 795924 903492 994905 1129365 1326540 1505820 1989810 2258730 3979620 4517460 554869573 1109739146 1664608719 2219478292 2774347865 3329217438 4993826157 5548695730 6658434876 8323043595 9987652314 11097391460 16646087190 19975304628 24969130785 33292174380 49938261570 99876523140