Search a number
-
+
9999000009999 = 327112131910152579
BaseRepresentation
bin1001000110000001001011…
…0101111111110100001111
31022101220011111120111102200
42101200102311333310033
52302310423000304444
633133251023452543
72051255353514460
oct221402265776417
938356144514380
109999000009999
113205608917800
121155a58a57153
13576b94c22a70
14267d503c4d67
1512516c264969
hex91812d7fd0f

9999000009999 has 288 divisors, whose sum is σ = 20771304153600. Its totient is φ = 4497311808000.

The previous prime is 9999000009967. The next prime is 9999000010067.

9999000009999 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 9999000009999 - 25 = 9999000009967 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9999000009949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 190144692 + ... + 190197270.

Almost surely, 29999000009999 is an apocalyptic number.

9999000009999 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9999000009999 is an abundant number, since it is smaller than the sum of its proper divisors (10772304143601).

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

9999000009999 is a wasteful number, since it uses less digits than its factorization.

9999000009999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52747 (or 52733 counting only the distinct ones).

The product of its (nonzero) digits is 43046721, while the sum is 72.

It can be divided in two parts, 999900000 and 9999, that added together give a palindrome (999909999).

The spelling of 9999000009999 in words is "nine trillion, nine hundred ninety-nine billion, nine thousand, nine hundred ninety-nine".