Search a number
-
+
4805288064 = 2736232239
BaseRepresentation
bin1000111100110101…
…01110000010000000
3110101212222221000000
410132122232002000
534320123204224
62112454000000
7230036163123
oct43632560200
913355887000
104805288064
112046507055
12b21346000
135b7706525
143382983ba
151d1ce40c9
hex11e6ae080

4805288064 has 224 divisors, whose sum is σ = 14983718400. Its totient is φ = 1531436544.

The previous prime is 4805288003. The next prime is 4805288101. The reversal of 4805288064 is 4608825084.

4805288064 is a `hidden beast` number, since 48 + 0 + 528 + 80 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2145057 + ... + 2147295.

It is an arithmetic number, because the mean of its divisors is an integer number (66891600).

Almost surely, 24805288064 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 4805288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7491859200).

4805288064 is an abundant number, since it is smaller than the sum of its proper divisors (10178430336).

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

4805288064 is an equidigital number, since it uses as much as digits as its factorization.

4805288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 4805288064 is about 69320.1851122745. The cubic root of 4805288064 is about 1687.4845651922.

The spelling of 4805288064 in words is "four billion, eight hundred five million, two hundred eighty-eight thousand, sixty-four".