Search a number
-
+
6800000000 = 2105817
BaseRepresentation
bin1100101010100111…
…11100010000000000
3122112220101210100212
412111103330100000
5102411300000000
63042431333252
7330340021613
oct62523742000
918486353325
106800000000
11297a471712
121399381228
13844a4b951
1448717817a
1529beaec35
hex1954fc400

6800000000 has 198 divisors, whose sum is σ = 17991201726. Its totient is φ = 2560000000.

The previous prime is 6799999991. The next prime is 6800000027. The reversal of 6800000000 is 86.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 3215343616 + 3584656384 = 56704^2 + 59872^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 399999992 + ... + 400000008.

Almost surely, 26800000000 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 6800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8995600863).

6800000000 is an abundant number, since it is smaller than the sum of its proper divisors (11191201726).

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

6800000000 is an frugal number, since it uses more digits than its factorization.

6800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 6800000000 is about 82462.1125123532. The cubic root of 6800000000 is about 1894.5364743718.

Adding to 6800000000 its reverse (86), we get a palindrome (6800000086).

The spelling of 6800000000 in words is "six billion, eight hundred million", and thus it is an aban number.