Search a number
-
+
9990388485 = 3257112883229
BaseRepresentation
bin10010100110111100…
…10011101100000101
3221210020200022121100
421103132103230011
5130430014412420
64331200410313
7502366621020
oct112336235405
927706608540
109990388485
11426734a810
121b29916999
13c32a0369c
146aab801b7
153d7110190
hex253793b05

9990388485 has 48 divisors (see below), whose sum is σ = 21589626240. Its totient is φ = 4151848320.

The previous prime is 9990388483. The next prime is 9990388517. The reversal of 9990388485 is 5848830999.

9990388485 is a `hidden beast` number, since 99 + 90 + 388 + 4 + 85 = 666.

9990388485 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9990388485 - 21 = 9990388483 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9990388483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438150 + ... + 1445079.

It is an arithmetic number, because the mean of its divisors is an integer number (449783880).

Almost surely, 29990388485 is an apocalyptic number.

It is an amenable number.

9990388485 is an abundant number, since it is smaller than the sum of its proper divisors (11599237755).

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

9990388485 is a wasteful number, since it uses less digits than its factorization.

9990388485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883258 (or 2883255 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The square root of 9990388485 is about 99951.9308717946. The cubic root of 9990388485 is about 2153.7442227254.

The spelling of 9990388485 in words is "nine billion, nine hundred ninety million, three hundred eighty-eight thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 2883229 8649687 14416145 20182603 25949061 31715519 43248435 60547809 95146557 100913015 129745305 158577595 181643427 222008633 285439671 302739045 475732785 666025899 908217135 1110043165 1427198355 1998077697 3330129495 9990388485