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6689652480 = 28325731693
BaseRepresentation
bin1100011101011101…
…11111111100000000
3122021012202120000200
412032232333330000
5102200022334410
63023450245200
7324530052000
oct61656777400
918235676020
106689652480
112923152a15
121368426800
13827c24364
14476652000
152924643c0
hex18ebbff00

6689652480 has 432 divisors, whose sum is σ = 27007780800. Its totient is φ = 1528160256.

The previous prime is 6689652451. The next prime is 6689652481. The reversal of 6689652480 is 842569866.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6689652481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3950514 + ... + 3952206.

Almost surely, 26689652480 is an apocalyptic number.

6689652480 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 6689652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503890400).

6689652480 is an abundant number, since it is smaller than the sum of its proper divisors (20318128320).

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

6689652480 is a wasteful number, since it uses less digits than its factorization.

6689652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6689652480 is about 81790.2957568928. The cubic root of 6689652480 is about 1884.2326243923.

The spelling of 6689652480 in words is "six billion, six hundred eighty-nine million, six hundred fifty-two thousand, four hundred eighty".