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199685116512 = 2534711005573
BaseRepresentation
bin1011100111111000101…
…0010001001001100000
3201002102101202221120000
42321332022101021200
511232423342212022
6231422321020000
720266245325230
oct2717612211140
9632371687500
10199685116512
1177760051612
123284a184600
1315aa400ca9b
149944355cc0
1552da9c56ac
hex2e7e291260

199685116512 has 120 divisors (see below), whose sum is σ = 671163924816. Its totient is φ = 57052885248.

The previous prime is 199685116507. The next prime is 199685116513. The reversal of 199685116512 is 215611586991.

It is a happy number.

199685116512 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 8 + 5 + 116 + 512 = 666.

It is a super-2 number, since 2×1996851165122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199685116513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5484643 + ... + 5520930.

Almost surely, 2199685116512 is an apocalyptic number.

199685116512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199685116512 is an abundant number, since it is smaller than the sum of its proper divisors (471478808304).

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

199685116512 is a wasteful number, since it uses less digits than its factorization.

199685116512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005602 (or 11005585 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 54.

The spelling of 199685116512 in words is "one hundred ninety-nine billion, six hundred eighty-five million, one hundred sixteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 11005573 22011146 33016719 44022292 66033438 77039011 88044584 99050157 132066876 154078022 176089168 198100314 231117033 264133752 297150471 308156044 352178336 396200628 462234066 528267504 594300942 616312088 693351099 792401256 891451413 924468132 1056535008 1188601884 1232624176 1386702198 1584802512 1782902826 1848936264 2080053297 2377203768 2465248352 2773404396 3169605024 3565805652 3697872528 4160106594 4754407536 5546808792 6240159891 7131611304 7395745056 8320213188 9508815072 11093617584 12480319782 14263222608 16640426376 22187235168 24960639564 28526445216 33280852752 49921279128 66561705504 99842558256 199685116512