Search a number
-
+
5245776883200 = 29352737527447
BaseRepresentation
bin100110001010110000010…
…1010101110111000000000
3200120111021012200102101010
41030111200222232320000
51141421322340230300
615053513204040520
71050665145541050
oct114254052567000
920514235612333
105245776883200
1117427a3325637
12708800093140
132c08a0242479
14141c7b365560
15916c48e1a50
hex4c560aaee00

5245776883200 has 480 divisors, whose sum is σ = 20339981443584. Its totient is φ = 1166626160640.

The previous prime is 5245776883177. The next prime is 5245776883201. The reversal of 5245776883200 is 23886775425.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5245776883201) 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, 9681877 + ... + 10209323.

Almost surely, 25245776883200 is an apocalyptic number.

5245776883200 is a gapful number since it is divisible by the number (50) 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 5245776883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10169990721792).

5245776883200 is an abundant number, since it is smaller than the sum of its proper divisors (15094204560384).

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

5245776883200 is a wasteful number, since it uses less digits than its factorization.

5245776883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527522 (or 527501 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 5245776883200 in words is "five trillion, two hundred forty-five billion, seven hundred seventy-six million, eight hundred eighty-three thousand, two hundred".