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9835102809 = 337109477409
BaseRepresentation
bin10010010100011011…
…11100001001011001
3221101102110222201000
421022031330021121
5130120241242214
64303532215213
7465502665060
oct111215741131
927342428630
109835102809
114197728344
121aa590a509
13c097a397c
146942bb1d7
153c8689809
hex24a37c259

9835102809 has 32 divisors (see below), whose sum is σ = 16804832000. Its totient is φ = 5568486912.

The previous prime is 9835102807. The next prime is 9835102817. The reversal of 9835102809 is 9082015389.

It is a happy number.

9835102809 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9835102809 - 21 = 9835102807 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9835102801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218104 + ... + 259305.

It is an arithmetic number, because the mean of its divisors is an integer number (525151000).

Almost surely, 29835102809 is an apocalyptic number.

It is an amenable number.

9835102809 is a deficient number, since it is larger than the sum of its proper divisors (6969729191).

9835102809 is a wasteful number, since it uses less digits than its factorization.

9835102809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477534 (or 477528 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9835102809 is about 99172.0868440309. The cubic root of 9835102809 is about 2142.5269890267.

The spelling of 9835102809 in words is "nine billion, eight hundred thirty-five million, one hundred two thousand, eight hundred nine".

Divisors: 1 3 7 9 21 27 63 109 189 327 763 981 2289 2943 6867 20601 477409 1432227 3341863 4296681 10025589 12890043 30076767 52037581 90230301 156112743 364263067 468338229 1092789201 1405014687 3278367603 9835102809