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99814582384 = 241121995092
BaseRepresentation
bin101110011110101101…
…0011010100001110000
3100112122020202011002121
41130331122122201300
53113410013114014
6113504300524024
710132332644236
oct1347532324160
9315566664077
1099814582384
1139370803100
1217417850614
13954928c98a
144b8c596956
1528e2d11124
hex173d69a870

99814582384 has 90 divisors (see below), whose sum is σ = 214058738600. Its totient is φ = 45053585280.

The previous prime is 99814582337. The next prime is 99814582411. The reversal of 99814582384 is 48328541899.

99814582384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×998145823843 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 196099122 + ... + 196099630.

Almost surely, 299814582384 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 99814582384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107029369300).

99814582384 is an abundant number, since it is smaller than the sum of its proper divisors (114244156216).

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

99814582384 is a wasteful number, since it uses less digits than its factorization.

99814582384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 721 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 61.

The spelling of 99814582384 in words is "ninety-nine billion, eight hundred fourteen million, five hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 199 242 398 484 509 796 968 1018 1592 1936 2036 2189 3184 4072 4378 5599 8144 8756 11198 17512 22396 24079 35024 44792 48158 61589 89584 96316 101291 123178 192632 202582 246356 259081 385264 405164 492712 518162 810328 985424 1036324 1114201 1620656 2072648 2228402 2849891 4145296 4456804 5699782 8913608 11399564 12256211 17827216 22799128 24512422 31348801 45598256 49024844 51557119 62697602 98049688 103114238 125395204 196099376 206228476 250790408 412456952 501580816 567128309 824913904 1134256618 2268513236 4537026472 6238411399 9074052944 12476822798 24953645596 49907291192 99814582384