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8066395008 = 2732717292029
BaseRepresentation
bin1111000001100101…
…10110101110000000
3202211011100022201200
413200302312232000
5113004444120013
63412230501200
7403615140420
oct74062665600
922734308650
108066395008
11346a2a6a61
121691504800
139b721bac9
1456742c480
15323262e73
hex1e0cb6b80

8066395008 has 384 divisors, whose sum is σ = 29071224000. Its totient is φ = 2093285376.

The previous prime is 8066395003. The next prime is 8066395019. The reversal of 8066395008 is 8005936608.

8066395008 is a `hidden beast` number, since 8 + 0 + 6 + 639 + 5 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8066395003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3974538 + ... + 3976566.

Almost surely, 28066395008 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 8066395008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535612000).

8066395008 is an abundant number, since it is smaller than the sum of its proper divisors (21004828992).

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

8066395008 is a wasteful number, since it uses less digits than its factorization.

8066395008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 8066395008 is about 89813.1115595045. Note that the first 3 decimals coincide. The cubic root of 8066395008 is about 2005.5176809332.

The spelling of 8066395008 in words is "eight billion, sixty-six million, three hundred ninety-five thousand, eight".