65536

65,536 is an even composite number. It is composed of a single prime number multiplied by itself fifteen times.

What does the number 65536 look like?

This visualization shows the relationship between its 1 prime factors (large circles) and 17 divisors.

65536 is an even composite number. It is composed of one distinct prime number multiplied by itself fifteen times. It has a total of seventeen divisors.

Prime factorization of 65536:

2¹⁶

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2)

See below for interesting mathematical facts about the number 65536 from the Numbermatics database.

Names of 65536

Cardinal: 65536 can be written as Sixty-five thousand, five hundred thirty-six.

Scientific notation

Scientific notation: 6.5536 × 10⁴

Factors of 65536

Number of distinct prime factors ω(n): 1
Total number of prime factors Ω(n): 16
Sum of prime factors: 2

Divisors of 65536

Number of divisors d(n): 17
Complete list of divisors:
1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536
Sum of all divisors σ(n): 131071
Sum of proper divisors (its aliquot sum) s(n): 65535
65536 is a deficient number, because the sum of its proper divisors (65535) is less than itself. Its deficiency is 1

Bases of 65536

Binary: 10000000000000000₂
Hexadecimal: 0x10000
Base-36: 1EKG

Squares and roots of 65536

65536 squared (65536²) is 4294967296
65536 cubed (65536³) is 281474976710656
65536 is a perfect square number. Its square root is 256
The cube root of 65536 is 40.3174735967

Scales and comparisons

How big is 65536?

65,536 seconds is equal to 18 hours, 12 minutes, 16 seconds.
To count from 1 to 65,536 would take you about eighteen hours.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
A cube with a volume of 65536 cubic inches would be around 3.4 feet tall.

Recreational maths with 65536

65536 backwards is 63556
The number of decimal digits it has is: 5
The sum of 65536's digits is 25
More coming soon!

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The information we have on file for 65536 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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