Search a number
-
+
5199466995360 = 253651110333923
BaseRepresentation
bin100101110101001100001…
…1000100001111010100000
3200102001201210110101000000
41023222120120201322200
51140142002022322420
615020334022300000
71044435432150561
oct113523030417240
920361653411000
105199466995360
111725099629460
126bb836b87600
132b93ccb43881
1413d926b60168
15903b3ead690
hex4ba98621ea0

5199466995360 has 672 divisors, whose sum is σ = 20116051800768. Its totient is φ = 1258935644160.

The previous prime is 5199466995347. The next prime is 5199466995377. The reversal of 5199466995360 is 635996649915.

5199466995360 is a `hidden beast` number, since 5 + 19 + 9 + 466 + 9 + 95 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1325378359 + ... + 1325382281.

It is an arithmetic number, because the mean of its divisors is an integer number (29934600894).

Almost surely, 25199466995360 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 5199466995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058025900384).

5199466995360 is an abundant number, since it is smaller than the sum of its proper divisors (14916584805408).

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

5199466995360 is a wasteful number, since it uses less digits than its factorization.

5199466995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000 (or 4977 counting only the distinct ones).

The product of its (nonzero) digits is 425152800, while the sum is 72.

The spelling of 5199466995360 in words is "five trillion, one hundred ninety-nine billion, four hundred sixty-six million, nine hundred ninety-five thousand, three hundred sixty".