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111108243456 = 21433753677
BaseRepresentation
bin110011101111010010…
…0010100000000000000
3101121210022202120121000
41213132210110000000
53310022202242311
6123013055132000
711012236325640
oct1473644240000
9347708676530
10111108243456
11431367858a1
1219649b14000
13a628ca5a72
14554046a520
152d5455b056
hex19de914000

111108243456 has 480 divisors, whose sum is σ = 383892929280. Its totient is φ = 31100239872.

The previous prime is 111108243401. The next prime is 111108243457. The reversal of 111108243456 is 654342801111.

111108243456 is a `hidden beast` number, since 11 + 110 + 82 + 4 + 3 + 456 = 666.

111108243456 is digitally balanced in base 3, 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 111108243456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111108243457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164118190 + ... + 164118866.

It is an arithmetic number, because the mean of its divisors is an integer number (799776936).

Almost surely, 2111108243456 is an apocalyptic number.

111108243456 is a gapful number since it is divisible by the number (16) 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 111108243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191946464640).

111108243456 is an abundant number, since it is smaller than the sum of its proper divisors (272784685824).

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

111108243456 is an frugal number, since it uses more digits than its factorization.

111108243456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 111108243456 in words is "one hundred eleven billion, one hundred eight million, two hundred forty-three thousand, four hundred fifty-six".