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11144026111050 = 232527291636171213
BaseRepresentation
bin1010001000101010101110…
…1101111011110001001010
31110110100200100012012010200
42202022223231323301022
52430040431141023200
635411254522553030
72230062233006610
oct242125355736112
943410610165120
1011144026111050
113607178240958
1212bb953968776
1362ab5314a581
142a75337936b0
15144d35aac800
hexa22abb7bc4a

11144026111050 has 576 divisors, whose sum is σ = 35701671732480. Its totient is φ = 2438309744640.

The previous prime is 11144026111027. The next prime is 11144026111063. The reversal of 11144026111050 is 5011162044111.

It is a happy number.

11144026111050 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 40 + 2 + 611 + 1 + 0 + 5 + 0 = 666.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 9187160244 + ... + 9187161456.

It is an arithmetic number, because the mean of its divisors is an integer number (61982068980).

Almost surely, 211144026111050 is an apocalyptic number.

11144026111050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11144026111050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17850835866240).

11144026111050 is an abundant number, since it is smaller than the sum of its proper divisors (24557645621430).

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

11144026111050 is a wasteful number, since it uses less digits than its factorization.

11144026111050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 11144026111050 its reverse (5011162044111), we get a palindrome (16155188155161).

The spelling of 11144026111050 in words is "eleven trillion, one hundred forty-four billion, twenty-six million, one hundred eleven thousand, fifty".