Search a number
-
+
5781282478344 = 2333194593
BaseRepresentation
bin101010000100000111101…
…0010011101100100001000
3202110200111111221020201000
41110020033102131210020
51224210031303301334
620143515015255000
71134453366153162
oct124101722354410
922420444836630
105781282478344
11192991227219a
1279454b97a460
1332c232277929
1415db5bca5932
15a05b7676299
hex5420f49d908

5781282478344 has 320 divisors, whose sum is σ = 17243546472000. Its totient is φ = 1794724623072.

The previous prime is 5781282478339. The next prime is 5781282478369. The reversal of 5781282478344 is 4438742821875.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5781282478344 is a `hidden beast` number, since 5 + 7 + 8 + 1 + 282 + 4 + 7 + 8 + 344 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 5781282478344 = 22423 + 179363 = 100893 + 168153.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 97987838587 + ... + 97987838645.

It is an arithmetic number, because the mean of its divisors is an integer number (53886082725).

Almost surely, 25781282478344 is an apocalyptic number.

5781282478344 is a gapful number since it is divisible by the number (54) 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 5781282478344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8621773236000).

5781282478344 is an abundant number, since it is smaller than the sum of its proper divisors (11462263993656).

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

5781282478344 is an frugal number, since it uses more digits than its factorization.

5781282478344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 83 counting only the distinct ones).

The product of its digits is 96337920, while the sum is 63.

The spelling of 5781282478344 in words is "five trillion, seven hundred eighty-one billion, two hundred eighty-two million, four hundred seventy-eight thousand, three hundred forty-four".