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11983412708190 = 23257111991010957
BaseRepresentation
bin1010111001100001101100…
…0011101100001101011110
31120102121021122011101002100
42232120123003230031132
53032314012123130230
641253034230505530
72344526065242120
oct256303303541536
946377248141070
1011983412708190
113900156080a80
1214165708052a6
1368c05306a211
142d6000a51210
1515bab1abc660
hexae61b0ec35e

11983412708190 has 192 divisors, whose sum is σ = 40889403210240. Its totient is φ = 2359003979520.

The previous prime is 11983412708177. The next prime is 11983412708191. The reversal of 11983412708190 is 9180721438911.

11983412708190 is a `hidden beast` number, since 1 + 1 + 9 + 83 + 412 + 70 + 81 + 9 + 0 = 666.

It is a super-2 number, since 2×119834127081902 (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 (11983412708191) 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 95 ways as a sum of consecutive naturals, for example, 45373809 + ... + 45637148.

It is an arithmetic number, because the mean of its divisors is an integer number (212965641720).

Almost surely, 211983412708190 is an apocalyptic number.

11983412708190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11983412708190 is an abundant number, since it is smaller than the sum of its proper divisors (28905990502050).

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

11983412708190 is a wasteful number, since it uses less digits than its factorization.

11983412708190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91011007 (or 91011004 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 11983412708190 in words is "eleven trillion, nine hundred eighty-three billion, four hundred twelve million, seven hundred eight thousand, one hundred ninety".