Search a number
-
+
18112889088 = 283371719261
BaseRepresentation
bin10000110111100111…
…001100000100000000
31201202022121002202000
4100313213030010000
5244043344422323
612153154024000
71210566005550
oct206747140400
951668532660
1018112889088
117755287728
123615b78000
131928737968
14c3b815160
15710256e43
hex4379cc100

18112889088 has 864 divisors, whose sum is σ = 69528049920. Its totient is φ = 4538695680.

The previous prime is 18112889077. The next prime is 18112889089. The reversal of 18112889088 is 88098821181.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×181128890882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18112889089) 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 95 ways as a sum of consecutive naturals, for example, 296932578 + ... + 296932638.

It is an arithmetic number, because the mean of its divisors is an integer number (80472280).

Almost surely, 218112889088 is an apocalyptic number.

18112889088 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 18112889088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34764024960).

18112889088 is an abundant number, since it is smaller than the sum of its proper divisors (51415160832).

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

18112889088 is a wasteful number, since it uses less digits than its factorization.

18112889088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 54.

The spelling of 18112889088 in words is "eighteen billion, one hundred twelve million, eight hundred eighty-nine thousand, eighty-eight".