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9005889013 = 112928231627
BaseRepresentation
bin10000110001100101…
…01111010111110101
3212020122011120012221
420120302233113311
5121421001422023
64045351242341
7436113536122
oct103062572765
925218146187
109005889013
113901653790
1218b40793b1
13b06a62914
14616109749
1537a99185d
hex218caf5f5

9005889013 has 8 divisors (see below), whose sum is σ = 10163386080. Its totient is φ = 7904855280.

The previous prime is 9005888981. The next prime is 9005889017. The reversal of 9005889013 is 3109885009.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9005889013 - 25 = 9005888981 is a prime.

It is a super-2 number, since 2×90058890132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9005889017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14115495 + ... + 14116132.

It is an arithmetic number, because the mean of its divisors is an integer number (1270423260).

Almost surely, 29005889013 is an apocalyptic number.

It is an amenable number.

9005889013 is a deficient number, since it is larger than the sum of its proper divisors (1157497067).

9005889013 is a wasteful number, since it uses less digits than its factorization.

9005889013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28231667.

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 9005889013 is about 94899.3625531805. The cubic root of 9005889013 is about 2080.5374145281.

The spelling of 9005889013 in words is "nine billion, five million, eight hundred eighty-nine thousand, thirteen".

Divisors: 1 11 29 319 28231627 310547897 818717183 9005889013