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12106655050050 = 23252112445788899
BaseRepresentation
bin1011000000101100110011…
…0111111010100101000010
31120212101101121101000110100
42300023030313322211002
53041323412143100200
641425415345543230
72356451124665211
oct260131467724502
946771347330410
1012106655050050
113948449179570
121436426344b16
1369a863bc9862
142dbd72845078
1515edc6536d00
hexb02ccdfa942

12106655050050 has 72 divisors (see below), whose sum is σ = 35483505361200. Its totient is φ = 2934946677600.

The previous prime is 12106655050031. The next prime is 12106655050079. The reversal of 12106655050050 is 5005055660121.

12106655050050 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 6 + 6 + 550 + 50 + 0 + 50 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12106655049987 and 12106655050014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1222889500 + ... + 1222899399.

It is an arithmetic number, because the mean of its divisors is an integer number (492826463350).

Almost surely, 212106655050050 is an apocalyptic number.

12106655050050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12106655050050 is an abundant number, since it is smaller than the sum of its proper divisors (23376850311150).

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

12106655050050 is a wasteful number, since it uses less digits than its factorization.

12106655050050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445788928 (or 2445788920 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 12106655050050 in words is "twelve trillion, one hundred six billion, six hundred fifty-five million, fifty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 2445788899 4891577798 7337366697 12228944495 14674733394 22012100091 24457888990 26903677889 36686833485 44024200182 53807355778 61144722475 73373666970 80711033667 110060500455 122289444950 134518389445 161422067334 183434167425 220121000910 242133101001 269036778890 366868334850 403555168335 484266202002 550302502275 672591947225 807110336670 1100605004550 1210665505005 1345183894450 2017775841675 2421331010010 4035551683350 6053327525025 12106655050050