Search a number
-
+
798094945200 = 243527647146849
BaseRepresentation
bin10111001110100100010…
…10100110101110110000
32211022000121102221002110
423213102022212232300
5101033444301221300
61410350104245320
7111442352050260
oct13472212465660
92738017387073
10798094945200
11288519876943
1210a814470840
135a34c396107
142a8b13437a0
1515b60e36550
hexb9d22a6bb0

798094945200 has 240 divisors, whose sum is σ = 2926323417600. Its totient is φ = 182138511360.

The previous prime is 798094945199. The next prime is 798094945253. The reversal of 798094945200 is 2549490897.

798094945200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5361376 + ... + 5508224.

It is an arithmetic number, because the mean of its divisors is an integer number (12193014240).

Almost surely, 2798094945200 is an apocalyptic number.

798094945200 is a gapful number since it is divisible by the number (70) 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 798094945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463161708800).

798094945200 is an abundant number, since it is smaller than the sum of its proper divisors (2128228472400).

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

798094945200 is a wasteful number, since it uses less digits than its factorization.

798094945200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147524 (or 147513 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 798094945200 in words is "seven hundred ninety-eight billion, ninety-four million, nine hundred forty-five thousand, two hundred".