Search a number
-
+
9933034005 = 325421524309
BaseRepresentation
bin10010100000000111…
…00001001000010101
3221122020202102001100
421100003201020111
5130320324042010
64321351220313
7501102252546
oct112003411025
927566672040
109933034005
114237a36514
121b12677699
13c23b7191b
146a32d04cd
153d20812c0
hex2500e1215

9933034005 has 24 divisors (see below), whose sum is σ = 17258187960. Its totient is φ = 5285024640.

The previous prime is 9933033967. The next prime is 9933034009. The reversal of 9933034005 is 5004303399.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 759608721 + 9173425284 = 27561^2 + 95778^2 .

It is not a de Polignac number, because 9933034005 - 26 = 9933033941 is a prime.

It is a super-3 number, since 3×99330340053 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9933034009) 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 23 ways as a sum of consecutive naturals, for example, 243210 + ... + 281099.

It is an arithmetic number, because the mean of its divisors is an integer number (719091165).

Almost surely, 29933034005 is an apocalyptic number.

It is an amenable number.

9933034005 is a deficient number, since it is larger than the sum of its proper divisors (7325153955).

9933034005 is a wasteful number, since it uses less digits than its factorization.

9933034005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524741 (or 524738 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 9933034005 is about 99664.6075846386. The cubic root of 9933034005 is about 2149.6147862227.

The spelling of 9933034005 in words is "nine billion, nine hundred thirty-three million, thirty-four thousand, five".

Divisors: 1 3 5 9 15 45 421 1263 2105 3789 6315 18945 524309 1572927 2621545 4718781 7864635 23593905 220734089 662202267 1103670445 1986606801 3311011335 9933034005