Search a number
-
+
113475183360 = 2835711383777
BaseRepresentation
bin110100110101110100…
…1011110001100000000
3101211220021120120201220
41221223221132030000
53324344121331420
6124044010555040
711125010100240
oct1515351361400
9354807516656
10113475183360
1144140867880
1219baa738a80
13a915487916
1456c6961b20
152e42251840
hex1a6ba5e300

113475183360 has 288 divisors, whose sum is σ = 451838725632. Its totient is φ = 23579197440.

The previous prime is 113475183343. The next prime is 113475183389. The reversal of 113475183360 is 63381574311.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 103792 + ... + 487568.

It is an arithmetic number, because the mean of its divisors is an integer number (1568884464).

Almost surely, 2113475183360 is an apocalyptic number.

113475183360 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 113475183360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225919362816).

113475183360 is an abundant number, since it is smaller than the sum of its proper divisors (338363542272).

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

113475183360 is a wasteful number, since it uses less digits than its factorization.

113475183360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383819 (or 383805 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

It can be divided in two parts, 113475 and 183360, that added together give a triangular number (296835 = T770).

The spelling of 113475183360 in words is "one hundred thirteen billion, four hundred seventy-five million, one hundred eighty-three thousand, three hundred sixty".