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99876534120 = 233251125221347
BaseRepresentation
bin101110100000100011…
…0101111011101101000
3100112210120022121220100
41131001012233131220
53114021343042440
6113514352425400
710134014350446
oct1350106573550
9315716277810
1099876534120
11393a2777390
1217434548260
1395590710cc
144b968c1b96
1528e849c230
hex17411af768

99876534120 has 96 divisors (see below), whose sum is σ = 354107725920. Its totient is φ = 24212492160.

The previous prime is 99876534089. The next prime is 99876534137. The reversal of 99876534120 is 2143567899.

99876534120 is a `hidden beast` number, since 9 + 9 + 87 + 6 + 534 + 1 + 20 = 666.

99876534120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12606714 + ... + 12614633.

It is an arithmetic number, because the mean of its divisors is an integer number (3688622145).

It is a 2-persistent number, because it is pandigital, and so is 2⋅99876534120 = 199753068240, but 3⋅99876534120 = 299629602360 is not.

Almost surely, 299876534120 is an apocalyptic number.

99876534120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

99876534120 is an abundant number, since it is smaller than the sum of its proper divisors (254231191800).

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

99876534120 is a wasteful number, since it uses less digits than its factorization.

99876534120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25221375 (or 25221368 counting only the distinct ones).

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

The spelling of 99876534120 in words is "ninety-nine billion, eight hundred seventy-six million, five hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 25221347 50442694 75664041 100885388 126106735 151328082 201770776 226992123 252213470 277434817 302656164 378320205 453984246 504426940 554869634 605312328 756640410 832304451 907968492 1008853880 1109739268 1134960615 1387174085 1513280820 1664608902 1815936984 2219478536 2269921230 2496913353 2774348170 3026561640 3329217804 4161522255 4539842460 4993826706 5548696340 6658435608 8323044510 9079684920 9987653412 11097392680 12484566765 16646089020 19975306824 24969133530 33292178040 49938267060 99876534120