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6662888064 = 27337172953
BaseRepresentation
bin1100011010010001…
…11001101010000000
3122012100101210011000
412031020321222000
5102121144404224
63021052452000
7324053420430
oct61510715200
918170353130
106662888064
11290a032468
12135b47a000
13822513021
14472c862c0
1528ee290c9
hex18d239a80

6662888064 has 384 divisors, whose sum is σ = 23898844800. Its totient is φ = 1789820928.

The previous prime is 6662888041. The next prime is 6662888093. The reversal of 6662888064 is 4608882666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6662888064.

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 47 ways as a sum of consecutive naturals, for example, 6991012 + ... + 6991964.

It is an arithmetic number, because the mean of its divisors is an integer number (62236575).

Almost surely, 26662888064 is an apocalyptic number.

6662888064 is a gapful number since it is divisible by the number (64) 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 6662888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11949422400).

6662888064 is an abundant number, since it is smaller than the sum of its proper divisors (17235956736).

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

6662888064 is a wasteful number, since it uses less digits than its factorization.

6662888064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 6662888064 is about 81626.5156919000. The cubic root of 6662888064 is about 1881.7164104363.

The spelling of 6662888064 in words is "six billion, six hundred sixty-two million, eight hundred eighty-eight thousand, sixty-four".