Search a number
-
+
4452537329328 = 2431122341398053
BaseRepresentation
bin100000011001010111111…
…1001111110011010110000
3120202122202222111221001010
41000302233321332122300
51040422244024014303
613245244543310520
7636454011561354
oct100625771763260
916678688457033
104452537329328
111467346277100
125bab218ab440
13263b45a75c9a
1411570abdd464
157ac49d99c03
hex40cafe7e6b0

4452537329328 has 240 divisors, whose sum is σ = 13197647796480. Its totient is φ = 1290118494720.

The previous prime is 4452537329309. The next prime is 4452537329353. The reversal of 4452537329328 is 8239237352544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 552900150 + ... + 552908202.

It is an arithmetic number, because the mean of its divisors is an integer number (54990199152).

Almost surely, 24452537329328 is an apocalyptic number.

4452537329328 is a gapful number since it is divisible by the number (48) 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 4452537329328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6598823898240).

4452537329328 is an abundant number, since it is smaller than the sum of its proper divisors (8745110467152).

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

4452537329328 is a wasteful number, since it uses less digits than its factorization.

4452537329328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12248 (or 12231 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 57.

The spelling of 4452537329328 in words is "four trillion, four hundred fifty-two billion, five hundred thirty-seven million, three hundred twenty-nine thousand, three hundred twenty-eight".