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6689018880 = 2103451272
BaseRepresentation
bin1100011101011001…
…00101010000000000
3122021011120100220000
412032230211100000
5102144342101010
63023424520000
7324521502525
oct61654452000
918234510800
106689018880
11292285a985
121368180000
13827a61b4b
1447652914c
1529238b7c0
hex18eb25400

6689018880 has 330 divisors, whose sum is σ = 24159885354. Its totient is φ = 1769693184.

The previous prime is 6689018863. The next prime is 6689018911. The reversal of 6689018880 is 888109866.

It can be written as a sum of positive squares in only one way, i.e., 5351215104 + 1337803776 = 73152^2 + 36576^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 52669377 + ... + 52669503.

Almost surely, 26689018880 is an apocalyptic number.

6689018880 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 6689018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079942677).

6689018880 is an abundant number, since it is smaller than the sum of its proper divisors (17470866474).

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

6689018880 is an equidigital number, since it uses as much as digits as its factorization.

6689018880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 6689018880 is about 81786.4223450323. The cubic root of 6689018880 is about 1884.1731351294.

The spelling of 6689018880 in words is "six billion, six hundred eighty-nine million, eighteen thousand, eight hundred eighty".