Search a number
-
+
5678265985200 = 2434522112273659
BaseRepresentation
bin101001010100001001100…
…0001101110100010110000
3202002211121010020011210000
41102220103001232202300
51221013042043011300
620024320454310000
71124145503340054
oct122502301564260
922084533204700
105678265985200
11189a159131156
1277859b958300
133225c582a803
14158b88387c64
159ca886dac00
hex52a1306e8b0

5678265985200 has 600 divisors, whose sum is σ = 20571243802560. Its totient is φ = 1499978995200.

The previous prime is 5678265985187. The next prime is 5678265985207. The reversal of 5678265985200 is 25895628765.

5678265985200 is a `hidden beast` number, since 56 + 7 + 8 + 2 + 6 + 59 + 8 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is not an unprimeable number, because it can be changed into a prime (5678265985207) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1551860971 + ... + 1551864629.

Almost surely, 25678265985200 is an apocalyptic number.

5678265985200 is a gapful number since it is divisible by the number (50) 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 5678265985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285621901280).

5678265985200 is an abundant number, since it is smaller than the sum of its proper divisors (14892977817360).

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

5678265985200 is a wasteful number, since it uses less digits than its factorization.

5678265985200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 5678265985200 in words is "five trillion, six hundred seventy-eight billion, two hundred sixty-five million, nine hundred eighty-five thousand, two hundred".