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9820000289 = 113792355481
BaseRepresentation
bin10010010010101000…
…10101000000100001
3221100101001200221102
421021110111000201
5130102410002124
64302232404145
7465230424311
oct111124250041
927311050842
109820000289
11418a152620
121aa0846655
13c06616778
146922a9441
153c71a4aae
hex249515021

9820000289 has 8 divisors (see below), whose sum is σ = 10740997920. Its totient is φ = 8903714400.

The previous prime is 9820000283. The next prime is 9820000303.

9820000289 is nontrivially palindromic in base 10.

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-9820000289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9820000283) 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 7 ways as a sum of consecutive naturals, for example, 1173572 + ... + 1181909.

It is an arithmetic number, because the mean of its divisors is an integer number (1342624740).

Almost surely, 29820000289 is an apocalyptic number.

It is an amenable number.

9820000289 is a deficient number, since it is larger than the sum of its proper divisors (920997631).

9820000289 is a wasteful number, since it uses less digits than its factorization.

9820000289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355871.

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 9820000289 is about 99095.9145928832. The cubic root of 9820000289 is about 2141.4297582218.

It can be divided in two parts, 9820000 and 289, that added together give a palindrome (9820289).

The spelling of 9820000289 in words is "nine billion, eight hundred twenty million, two hundred eighty-nine", and thus it is an aban number.

Divisors: 1 11 379 4169 2355481 25910291 892727299 9820000289