Search a number
-
+
9865440000 = 283254131731
BaseRepresentation
bin10010011000000011…
…01010101100000000
3221110112120021111200
421030001222230000
5130201023040000
64310534341200
7466321566513
oct111401525400
927415507450
109865440000
1142028690a9
121ab3aba800
13c12b66280
14698336d7a
153cb17d500
hex24c06ab00

9865440000 has 1080 divisors, whose sum is σ = 41837507712. Its totient is φ = 2211840000.

The previous prime is 9865439993. The next prime is 9865440001. The reversal of 9865440000 is 445689.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9865440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 318239985 + ... + 318240015.

Almost surely, 29865440000 is an apocalyptic number.

9865440000 is a gapful number since it is divisible by the number (90) 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 9865440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20918753856).

9865440000 is an abundant number, since it is smaller than the sum of its proper divisors (31972067712).

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

9865440000 is a wasteful number, since it uses less digits than its factorization.

9865440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9865440000 is about 99324.9213440413. The cubic root of 9865440000 is about 2144.7276619702.

Adding to 9865440000 its reverse (445689), we get a palindrome (9865885689).

The spelling of 9865440000 in words is "nine billion, eight hundred sixty-five million, four hundred forty thousand".