Search a number
-
+
133299044736 = 273111322947137
BaseRepresentation
bin111110000100100111…
…1100000000110000000
3110202001211200002012220
41330021033200012000
54140444023412421
6141123045051040
712426163120404
oct1741117400600
9422054602186
10133299044736
1151593921290
1221a016b6a80
13c754511100
1466476b7104
1537027c83c6
hex1f093e0180

133299044736 has 768 divisors, whose sum is σ = 445116902400. Its totient is φ = 34977546240.

The previous prime is 133299044729. The next prime is 133299044759. The reversal of 133299044736 is 637440992331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 972985660 + ... + 972985796.

It is an arithmetic number, because the mean of its divisors is an integer number (579579300).

Almost surely, 2133299044736 is an apocalyptic number.

133299044736 is a gapful number since it is divisible by the number (16) 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 133299044736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222558451200).

133299044736 is an abundant number, since it is smaller than the sum of its proper divisors (311817857664).

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

133299044736 is a wasteful number, since it uses less digits than its factorization.

133299044736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 51.

The spelling of 133299044736 in words is "one hundred thirty-three billion, two hundred ninety-nine million, forty-four thousand, seven hundred thirty-six".