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11108026368 = 21134292309
BaseRepresentation
bin10100101100001011…
…10000100000000000
31001200010201012120000
422112011300200000
5140222123320433
65034123320000
7542160444345
oct122605604000
931603635500
1011108026368
11479021168a
1221a0080000
13108041b58a
147753907cc
154502cc113
hex296170800

11108026368 has 240 divisors, whose sum is σ = 34337803500. Its totient is φ = 3573448704.

The previous prime is 11108026351. The next prime is 11108026381. The reversal of 11108026368 is 86362080111.

11108026368 is a `hidden beast` number, since 1 + 1 + 10 + 8 + 0 + 2 + 636 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10689905664 + 418120704 = 103392^2 + 20448^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4809598 + ... + 4811906.

Almost surely, 211108026368 is an apocalyptic number.

11108026368 is a gapful number since it is divisible by the number (18) 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 11108026368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17168901750).

11108026368 is an abundant number, since it is smaller than the sum of its proper divisors (23229777132).

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

11108026368 is an equidigital number, since it uses as much as digits as its factorization.

11108026368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11108026368 in words is "eleven billion, one hundred eight million, twenty-six thousand, three hundred sixty-eight".