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9971586133 = 733122911069
BaseRepresentation
bin10010100100101101…
…00101010001010101
3221201221022001121221
421102112211101111
5130410211224013
64325245410341
7502051040455
oct112226452125
927657261557
109971586133
114257778283
121b235699b1
13c2bb4c432
146a8487d65
153d564908d
hex2525a5455

9971586133 has 8 divisors (see below), whose sum is σ = 9994217400. Its totient is φ = 9948980928.

The previous prime is 9971586109. The next prime is 9971586161. The reversal of 9971586133 is 3316851799.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5226856209 + 4744729924 = 72297^2 + 68882^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9971586133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971586103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 895323 + ... + 906391.

It is an arithmetic number, because the mean of its divisors is an integer number (1249277175).

Almost surely, 29971586133 is an apocalyptic number.

It is an amenable number.

9971586133 is a deficient number, since it is larger than the sum of its proper divisors (22631267).

9971586133 is a wasteful number, since it uses less digits than its factorization.

9971586133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13031.

The product of its digits is 1224720, while the sum is 52.

The square root of 9971586133 is about 99857.8296028909. The cubic root of 9971586133 is about 2152.3922269748.

The spelling of 9971586133 in words is "nine billion, nine hundred seventy-one million, five hundred eighty-six thousand, one hundred thirty-three".

Divisors: 1 733 1229 11069 900857 8113577 13603801 9971586133