# 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:
• 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
• 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!