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66044844288 = 283431127809
BaseRepresentation
bin111101100000100101…
…000101100100000000
320022110210000201020000
4331200211011210000
52040224440004123
650201322120000
74525436625303
oct754045054400
9208423021200
1066044844288
1126011658045
1210972350000
1362c6bc7727
1432a7616b3a
151ab8297b43
hexf60945900

66044844288 has 360 divisors, whose sum is σ = 205140418560. Its totient is φ = 21110906880.

The previous prime is 66044844269. The next prime is 66044844323. The reversal of 66044844288 is 88244844066.

66044844288 is a `hidden beast` number, since 6 + 604 + 4 + 8 + 4 + 4 + 28 + 8 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 81637228 + ... + 81638036.

It is an arithmetic number, because the mean of its divisors is an integer number (569834496).

Almost surely, 266044844288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66044844288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102570209280).

66044844288 is an abundant number, since it is smaller than the sum of its proper divisors (139095574272).

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

66044844288 is a wasteful number, since it uses less digits than its factorization.

66044844288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 66044844288 in words is "sixty-six billion, forty-four million, eight hundred forty-four thousand, two hundred eighty-eight".