Search a number
-
+
9946429416 = 23327112433793
BaseRepresentation
bin10010100001101101…
…00111011111101000
3221200011221222002200
421100312213133220
5130332241220131
64322550300200
7501324153330
oct112066473750
927604858080
109946429416
114244555700
121b17057660
13c26881ac1
146a4dba0c0
153d332a2e6
hex250da77e8

9946429416 has 288 divisors, whose sum is σ = 34635881280. Its totient is φ = 2522741760.

The previous prime is 9946429403. The next prime is 9946429421. The reversal of 9946429416 is 6149246499.

It is a happy number.

9946429416 is a `hidden beast` number, since 99 + 464 + 2 + 94 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2620416 + ... + 2624208.

Almost surely, 29946429416 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 9946429416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17317940640).

9946429416 is an abundant number, since it is smaller than the sum of its proper divisors (24689451864).

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

9946429416 is a wasteful number, since it uses less digits than its factorization.

9946429416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3859 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 9946429416 is about 99731.7873899791. The cubic root of 9946429416 is about 2150.5806555700.

The spelling of 9946429416 in words is "nine billion, nine hundred forty-six million, four hundred twenty-nine thousand, four hundred sixteen".