Search a number
-
+
113517054443520 = 21433572132331113
BaseRepresentation
bin11001110011111000111111…
…101101001100000000000000
3112212221010100200222021012000
4121303320333231030000000
5104334330411414143040
61041233003114304000
732624223301160100
oct3163707755140000
9485833320867160
10113517054443520
1133196348939192
1210894447a28000
134b457c62c5310
14200637d06d200
15d1cc8be18130
hex673e3fb4c000

113517054443520 has 5760 divisors, whose sum is σ = 549435713863680. Its totient is φ = 21974294200320.

The previous prime is 113517054443509. The next prime is 113517054443521. The reversal of 113517054443520 is 25344450715311.

113517054443520 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 1 + 70 + 54 + 4 + 4 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×1135170544435202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (113517054443521) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1004575702984 + ... + 1004575703096.

It is an arithmetic number, because the mean of its divisors is an integer number (95388144768).

Almost surely, 2113517054443520 is an apocalyptic number.

113517054443520 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 113517054443520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274717856931840).

113517054443520 is an abundant number, since it is smaller than the sum of its proper divisors (435918659420160).

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

113517054443520 is a wasteful number, since it uses less digits than its factorization.

113517054443520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 113517054443520 in words is "one hundred thirteen trillion, five hundred seventeen billion, fifty-four million, four hundred forty-three thousand, five hundred twenty".