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9825628349 = 101211461059
BaseRepresentation
bin10010010011010011…
…10011000010111101
3221100202122122012002
421021221303002331
5130110330101344
64302553152045
7465326314535
oct111151630275
927322578162
109825628349
114192347009
121aa26bb625
13c07837394
14692d324c5
153c791744e
hex249a730bd

9825628349 has 8 divisors (see below), whose sum is σ = 9969961440. Its totient is φ = 9682218000.

The previous prime is 9825628339. The next prime is 9825628357. The reversal of 9825628349 is 9438265289.

9825628349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 9825628349 - 212 = 9825624253 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9825628294 and 9825628303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9825628339) 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 7 ways as a sum of consecutive naturals, for example, 209219 + ... + 251840.

It is an arithmetic number, because the mean of its divisors is an integer number (1246245180).

Almost surely, 29825628349 is an apocalyptic number.

It is an amenable number.

9825628349 is a deficient number, since it is larger than the sum of its proper divisors (144333091).

9825628349 is a wasteful number, since it uses less digits than its factorization.

9825628349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461371.

The product of its digits is 7464960, while the sum is 56.

The square root of 9825628349 is about 99124.3075587416. The cubic root of 9825628349 is about 2141.8387803910.

The spelling of 9825628349 in words is "nine billion, eight hundred twenty-five million, six hundred twenty-eight thousand, three hundred forty-nine".

Divisors: 1 101 211 21311 461059 46566959 97283449 9825628349