Search a number
-
+
28801301256 = 23327136765609
BaseRepresentation
bin11010110100101100…
…001111101100001000
32202100012201200211100
4122310230033230020
5432441113120011
621121531501400
72036503010220
oct326454175410
982305650740
1028801301256
111123a646a12
1256b95b7860
13293cc37cc0
141573177080
15b38798d56
hex6b4b0fb08

28801301256 has 192 divisors, whose sum is σ = 97438723200. Its totient is φ = 7482461184.

The previous prime is 28801301231. The next prime is 28801301257. The reversal of 28801301256 is 65210310882.

It is a happy number.

28801301256 is a `hidden beast` number, since 28 + 80 + 1 + 301 + 256 = 666.

It is a super-3 number, since 3×288013012563 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 28801301256.

It is not an unprimeable number, because it can be changed into a prime (28801301257) 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 47 ways as a sum of consecutive naturals, for example, 406180 + ... + 471788.

It is an arithmetic number, because the mean of its divisors is an integer number (507493350).

Almost surely, 228801301256 is an apocalyptic number.

28801301256 is a gapful number since it is divisible by the number (26) 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 28801301256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48719361600).

28801301256 is an abundant number, since it is smaller than the sum of its proper divisors (68637421944).

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

28801301256 is a wasteful number, since it uses less digits than its factorization.

28801301256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65708 (or 65701 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 28801301256 in words is "twenty-eight billion, eight hundred one million, three hundred one thousand, two hundred fifty-six".