Search a number
-
+
9989022384 = 2435112171249
BaseRepresentation
bin10010100110110010…
…00110001010110000
3221210011002220200000
421103121012022300
5130424142204014
64331111230000
7502352201145
oct112331061260
927704086600
109989022384
1142665a7400
121b29378300
13c32645943
146aa9063cc
153d6e40509
hex2536462b0

9989022384 has 360 divisors, whose sum is σ = 33767370000. Its totient is φ = 2846638080.

The previous prime is 9989022289. The next prime is 9989022391. The reversal of 9989022384 is 4832209899.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 9989022384.

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, 7996992 + ... + 7998240.

It is an arithmetic number, because the mean of its divisors is an integer number (93798250).

Almost surely, 29989022384 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 9989022384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16883685000).

9989022384 is an abundant number, since it is smaller than the sum of its proper divisors (23778347616).

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

9989022384 is a wasteful number, since it uses less digits than its factorization.

9989022384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 9989022384 is about 99945.0968482196. The cubic root of 9989022384 is about 2153.6460494909.

The spelling of 9989022384 in words is "nine billion, nine hundred eighty-nine million, twenty-two thousand, three hundred eighty-four".