Search a number
-
+
16000430208 = 273724311973
BaseRepresentation
bin11101110011011001…
…10011000010000000
31112022002122001221020
432321230303002000
5230232102231313
611203412425440
71104335261400
oct167154630200
945262561836
1016000430208
11687090a044
123126618280
13167cba6ca9
14abb044800
15639a7d323
hex3b9b33080

16000430208 has 192 divisors, whose sum is σ = 49579931520. Its totient is φ = 4558632960.

The previous prime is 16000430203. The next prime is 16000430221. The reversal of 16000430208 is 80203400061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (16000430203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8108710 + ... + 8110682.

It is an arithmetic number, because the mean of its divisors is an integer number (258228810).

Almost surely, 216000430208 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 16000430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24789965760).

16000430208 is an abundant number, since it is smaller than the sum of its proper divisors (33579501312).

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

16000430208 is a wasteful number, since it uses less digits than its factorization.

16000430208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 16000430208 its reverse (80203400061), we get a palindrome (96203830269).

The spelling of 16000430208 in words is "sixteen billion, four hundred thirty thousand, two hundred eight".