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9408418009 = 969972
BaseRepresentation
bin10001100001100100…
…10001000011011001
3220021200121011012021
420300302101003121
5123232023334014
64153331014441
7452102143054
oct106062210331
926250534167
109408418009
113a98896781
1219a6a3a421
13b6c27b363
1465376ba9b
153a0ea4624
hex230c910d9

9408418009 has 3 divisors (see below), whose sum is σ = 9408515007. Its totient is φ = 9408321012.

The previous prime is 9408417961. The next prime is 9408418027. The reversal of 9408418009 is 9008148049.

The square root of 9408418009 is 96997.

It is a perfect power (a square), and thus also a powerful number.

9408418009 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 577681225 + 8830736784 = 24035^2 + 93972^2 .

It is not a de Polignac number, because 9408418009 - 29 = 9408417497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9408418099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 48499 + ... + 145495.

It is an arithmetic number, because the mean of its divisors is an integer number (3136171669).

Almost surely, 29408418009 is an apocalyptic number.

9408418009 is the 96997-th square number.

9408418009 is the 48499-th centered octagonal number.

It is an amenable number.

9408418009 is a deficient number, since it is larger than the sum of its proper divisors (96998).

9408418009 is an frugal number, since it uses more digits than its factorization.

9408418009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193994 (or 96997 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The cubic root of 9408418009 is about 2111.0841002557.

Multiplying 9408418009 by its product of nonzero digits (82944), we get a square (780371823338496 = 279351362).

The spelling of 9408418009 in words is "nine billion, four hundred eight million, four hundred eighteen thousand, nine".

Divisors: 1 96997 9408418009