Search a number
-
+
113448718368 = 2533536433853
BaseRepresentation
bin110100110101000010…
…0100001000000100000
3101211211102210000121000
41221222010201000200
53324320332441433
6124041223432000
711124236123646
oct1515204410040
9354742700530
10113448718368
1144127931287
1219ba18b5600
13a90cb4c96b
1456c3233196
152e3ec75113
hex1a6a121020

113448718368 has 192 divisors, whose sum is σ = 337747294080. Its totient is φ = 37035408384.

The previous prime is 113448718321. The next prime is 113448718373. The reversal of 113448718368 is 863817844311.

113448718368 is a `hidden beast` number, since 1 + 13 + 448 + 7 + 183 + 6 + 8 = 666.

It is a super-2 number, since 2×1134487183682 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29442330 + ... + 29446182.

It is an arithmetic number, because the mean of its divisors is an integer number (1759100490).

Almost surely, 2113448718368 is an apocalyptic number.

113448718368 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 113448718368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168873647040).

113448718368 is an abundant number, since it is smaller than the sum of its proper divisors (224298575712).

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

113448718368 is a wasteful number, since it uses less digits than its factorization.

113448718368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4568 (or 4554 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 113448718368 in words is "one hundred thirteen billion, four hundred forty-eight million, seven hundred eighteen thousand, three hundred sixty-eight".