Search a number
-
+
9729640809 = 337463111187
BaseRepresentation
bin10010000111110111…
…01000100101101001
3221010002000222001000
421003323220211221
5124411242001214
64245243545213
7463052403510
oct110373504551
927102028030
109729640809
114143146169
121a7652b209
13bc099a015
146842a7677
153be2a6809
hex243ee8969

9729640809 has 32 divisors (see below), whose sum is σ = 16509194240. Its totient is φ = 5547736656.

The previous prime is 9729640807. The next prime is 9729640813. The reversal of 9729640809 is 9080469279.

9729640809 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 9729640809 - 21 = 9729640807 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9729640807) 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 31 ways as a sum of consecutive naturals, for example, 31914 + ... + 143100.

It is an arithmetic number, because the mean of its divisors is an integer number (515912320).

Almost surely, 29729640809 is an apocalyptic number.

It is an amenable number.

9729640809 is a deficient number, since it is larger than the sum of its proper divisors (6779553431).

9729640809 is a wasteful number, since it uses less digits than its factorization.

9729640809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111666 (or 111660 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 9729640809 is about 98638.9416457821. The cubic root of 9729640809 is about 2134.8413324452.

The spelling of 9729640809 in words is "nine billion, seven hundred twenty-nine million, six hundred forty thousand, eight hundred nine".

Divisors: 1 3 7 9 21 27 63 189 463 1389 3241 4167 9723 12501 29169 87507 111187 333561 778309 1000683 2334927 3002049 7004781 21014343 51479581 154438743 360357067 463316229 1081071201 1389948687 3243213603 9729640809