Search a number
-
+
5182536493260 = 223257232953116351
BaseRepresentation
bin100101101101010011100…
…1111110010100011001100
3200100110000212201202021200
41023122213033302203030
51134402313320241020
615004454023025500
71043266041232260
oct113324717624314
920313025652250
105182536493260
1117189a0818665
126b84b0b9b290
132b79323745a9
1413cb9c3b20a0
158ec22963590
hex4b6a73f28cc

5182536493260 has 576 divisors, whose sum is σ = 19759808839680. Its totient is φ = 1073353881600.

The previous prime is 5182536493247. The next prime is 5182536493307. The reversal of 5182536493260 is 623946352815.

It is a happy number.

5182536493260 is a `hidden beast` number, since 5 + 1 + 8 + 2 + 536 + 49 + 3 + 2 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5182536493197 and 5182536493206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44484085 + ... + 44600435.

It is an arithmetic number, because the mean of its divisors is an integer number (34305223680).

Almost surely, 25182536493260 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5182536493260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9879904419840).

5182536493260 is an abundant number, since it is smaller than the sum of its proper divisors (14577272346420).

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

5182536493260 is a wasteful number, since it uses less digits than its factorization.

5182536493260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116478 (or 116473 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 5182536493260 in words is "five trillion, one hundred eighty-two billion, five hundred thirty-six million, four hundred ninety-three thousand, two hundred sixty".