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6666532320 = 2535721716673
BaseRepresentation
bin1100011010101101…
…10011010111100000
3122012121020221010110
412031112303113200
5102123113013240
63021302531320
7324126406200
oct61526632740
918177227113
106666532320
1129110a1448
121360736b40
138231ba9a6
14473554400
152903e8c80
hex18d5b35e0

6666532320 has 288 divisors, whose sum is σ = 25866576288. Its totient is φ = 1434058752.

The previous prime is 6666532319. The next prime is 6666532331. The reversal of 6666532320 is 232356666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391504 + ... + 408176.

It is an arithmetic number, because the mean of its divisors is an integer number (89814501).

Almost surely, 26666532320 is an apocalyptic number.

6666532320 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 6666532320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12933288144).

6666532320 is an abundant number, since it is smaller than the sum of its proper divisors (19200043968).

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

6666532320 is a wasteful number, since it uses less digits than its factorization.

6666532320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16722 (or 16707 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The square root of 6666532320 is about 81648.8353866728. The cubic root of 6666532320 is about 1882.0594151718.

Adding to 6666532320 its reverse (232356666), we get a palindrome (6898888986).

The spelling of 6666532320 in words is "six billion, six hundred sixty-six million, five hundred thirty-two thousand, three hundred twenty".