Search a number
-
+
6823668852 = 223372111371127
BaseRepresentation
bin1100101101011100…
…01110110001110100
3122121112221021221000
412112232032301310
5102433324400402
63045034523300
7331045141200
oct62656166164
918545837830
106823668852
112991868450
1213a5296530
13849917ca0
1448a379b00
1529e0d7c1c
hex196b8ec74

6823668852 has 576 divisors, whose sum is σ = 24710676480. Its totient is φ = 1600300800.

The previous prime is 6823668847. The next prime is 6823668853. The reversal of 6823668852 is 2588663286.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6823668853) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53729613 + ... + 53729739.

It is an arithmetic number, because the mean of its divisors is an integer number (42900480).

Almost surely, 26823668852 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 6823668852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12355338240).

6823668852 is an abundant number, since it is smaller than the sum of its proper divisors (17887007628).

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

6823668852 is a wasteful number, since it uses less digits than its factorization.

6823668852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 6823668852 is about 82605.5013422230. The cubic root of 6823668852 is about 1896.7320418710.

The spelling of 6823668852 in words is "six billion, eight hundred twenty-three million, six hundred sixty-eight thousand, eight hundred fifty-two".