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11144016126 = 23468790223
BaseRepresentation
bin10100110000011110…
…00011000011111110
31001202122102200020000
422120033003003332
5140310332004001
65041450535130
7543105400635
oct123017030376
931678380200
1011144016126
1147a9563291
1221b01374a6
131087a0c9a9
1477a07c51c
1545353aa86
hex2983c30fe

11144016126 has 20 divisors (see below), whose sum is σ = 24970851312. Its totient is φ = 3714671988.

The previous prime is 11144016101. The next prime is 11144016139. The reversal of 11144016126 is 62161044111.

11144016126 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 40 + 1 + 612 + 6 = 666.

11144016126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11144016126.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 34394950 + ... + 34395273.

Almost surely, 211144016126 is an apocalyptic number.

11144016126 is an abundant number, since it is smaller than the sum of its proper divisors (13826835186).

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

11144016126 is an equidigital number, since it uses as much as digits as its factorization.

11144016126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68790237 (or 68790228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11144016126 in words is "eleven billion, one hundred forty-four million, sixteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 68790223 137580446 206370669 412741338 619112007 1238224014 1857336021 3714672042 5572008063 11144016126