Search a number
-
+
6116825535552 = 263273293496493
BaseRepresentation
bin101100100000010111100…
…1101101001010001000000
3210122202121002101122211100
41121000233031221101000
51300204224314114202
621002010355414400
71200632432116164
oct131005715512100
923582532348740
106116825535552
111a49149605436
128295945b4400
13354a77979524
141720ad6b6ca4
15a91a53d641c
hex5902f369440

6116825535552 has 168 divisors, whose sum is σ = 17833645439064. Its totient is φ = 2004143579136.

The previous prime is 6116825535487. The next prime is 6116825535599. The reversal of 6116825535552 is 2555355286116.

It is a happy number.

6116825535552 is a `hidden beast` number, since 6 + 1 + 1 + 6 + 8 + 2 + 55 + 35 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1334801272896 + 4782024262656 = 1155336^2 + 2186784^2 .

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 23 ways as a sum of consecutive naturals, for example, 12071818 + ... + 12568310.

It is an arithmetic number, because the mean of its divisors is an integer number (106152651423).

Almost surely, 26116825535552 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 6116825535552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916822719532).

6116825535552 is an abundant number, since it is smaller than the sum of its proper divisors (11716819903512).

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

6116825535552 is a wasteful number, since it uses less digits than its factorization.

6116825535552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496877 (or 496864 counting only the distinct ones).

The product of its digits is 10800000, while the sum is 54.

The spelling of 6116825535552 in words is "six trillion, one hundred sixteen billion, eight hundred twenty-five million, five hundred thirty-five thousand, five hundred fifty-two".