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6682808880 = 24335113143211
BaseRepresentation
bin1100011100101001…
…11001001000110000
3122020201212212101000
412032110321020300
5102141244341010
63023043442000
7324414636546
oct61624711060
918221785330
106682808880
11291a2a9250
121366086300
138266993a7
1447578dd96
15291a617c0
hex18e539230

6682808880 has 640 divisors, whose sum is σ = 26649722880. Its totient is φ = 1524096000.

The previous prime is 6682808863. The next prime is 6682808893. The reversal of 6682808880 is 888082866.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31671975 + ... + 31672185.

It is an arithmetic number, because the mean of its divisors is an integer number (41640192).

Almost surely, 26682808880 is an apocalyptic number.

6682808880 is a gapful number since it is divisible by the number (60) 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 6682808880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13324861440).

6682808880 is an abundant number, since it is smaller than the sum of its proper divisors (19966914000).

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

6682808880 is a wasteful number, since it uses less digits than its factorization.

6682808880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The square root of 6682808880 is about 81748.4487926224. The cubic root of 6682808880 is about 1883.5898738082.

The spelling of 6682808880 in words is "six billion, six hundred eighty-two million, eight hundred eight thousand, eight hundred eighty".