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11089391040 = 263257131719131
BaseRepresentation
bin10100101001111101…
…01010110111000000
31001121211122102200200
422110332222313000
5140202341003130
65032220045200
7541543161060
oct122476526700
931554572620
1011089391040
114780743692
122195993800
1310795c5360
14772add3a0
1544d84a760
hex294faadc0

11089391040 has 1344 divisors, whose sum is σ = 52722109440. Its totient is φ = 2070282240.

The previous prime is 11089391039. The next prime is 11089391069. The reversal of 11089391040 is 4019398011.

11089391040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11089390986 and 11089391004.

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 191 ways as a sum of consecutive naturals, for example, 84651775 + ... + 84651905.

It is an arithmetic number, because the mean of its divisors is an integer number (39227760).

Almost surely, 211089391040 is an apocalyptic number.

11089391040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11089391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26361054720).

11089391040 is an abundant number, since it is smaller than the sum of its proper divisors (41632718400).

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

11089391040 is a wasteful number, since it uses less digits than its factorization.

11089391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 11089391040 in words is "eleven billion, eighty-nine million, three hundred ninety-one thousand, forty".