Search a number
-
+
5322346585120 = 2551931214912227
BaseRepresentation
bin100110101110011010010…
…0100111101110000100000
3200211210220111002022001001
41031130310210331300200
51144200131211210440
615153015142321344
71056345465345445
oct115346444756040
920753814068031
105322346585120
111772215991a24
1271b60b129254
132c7b837a38b6
141458626c79cc
15936a6b70b9a
hex4d73493dc20

5322346585120 has 288 divisors, whose sum is σ = 13769486136000. Its totient is φ = 1938570209280.

The previous prime is 5322346585109. The next prime is 5322346585121. The reversal of 5322346585120 is 215856432235.

It is not an unprimeable number, because it can be changed into a prime (5322346585121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 435288447 + ... + 435300673.

It is an arithmetic number, because the mean of its divisors is an integer number (47810715750).

Almost surely, 25322346585120 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 5322346585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884743068000).

5322346585120 is an abundant number, since it is smaller than the sum of its proper divisors (8447139550880).

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

5322346585120 is a wasteful number, since it uses less digits than its factorization.

5322346585120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12472 (or 12433 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 5322346585120 in words is "five trillion, three hundred twenty-two billion, three hundred forty-six million, five hundred eighty-five thousand, one hundred twenty".