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11983412220279 = 3149439400115263
BaseRepresentation
bin1010111001100001101100…
…0001110101000101110111
31120102121021121020120210120
42232120123001311011313
53032314012012022104
641253034212223023
72344526061140463
oct256303301650567
946377247216716
1011983412220279
113900155878445
12141657060aa73
1368c052c29106
142d60009654a3
1515bab1a22cd9
hexae61b075177

11983412220279 has 32 divisors (see below), whose sum is σ = 16126843392000. Its totient is φ = 7914751104000.

The previous prime is 11983412220161. The next prime is 11983412220361. The reversal of 11983412220279 is 97202221438911.

It is a happy number.

It is not a de Polignac number, because 11983412220279 - 243 = 3187319198071 is a prime.

It is a super-2 number, since 2×119834122202792 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11983412220079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785120602 + ... + 785135864.

It is an arithmetic number, because the mean of its divisors is an integer number (503963856000).

Almost surely, 211983412220279 is an apocalyptic number.

11983412220279 is a deficient number, since it is larger than the sum of its proper divisors (4143431171721).

11983412220279 is a wasteful number, since it uses less digits than its factorization.

11983412220279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19855.

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 11983412220279 in words is "eleven trillion, nine hundred eighty-three billion, four hundred twelve million, two hundred twenty thousand, two hundred seventy-nine".

Divisors: 1 3 149 439 447 1317 4001 12003 15263 45789 65411 196233 596149 1756439 1788447 2274187 5269317 6700457 6822561 20101371 61067263 183201789 261709411 785128233 998368093 2995104279 9099022187 26808528457 27297066561 80425585371 3994470740093 11983412220279