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9849206540 = 2253116397459
BaseRepresentation
bin10010010110000111…
…01111011100001100
3221102102000112101102
421023003233130030
5130132344102130
64305154402232
7466033605605
oct111303573414
927372015342
109849206540
1141a4690718
121aaa590378
13c0c6a1384
1469610cdac
153c9a23645
hex24b0ef70c

9849206540 has 48 divisors (see below), whose sum is σ = 21481743360. Its totient is φ = 3789167040.

The previous prime is 9849206503. The next prime is 9849206551. The reversal of 9849206540 is 456029489.

9849206540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 52331 + ... + 149789.

It is an arithmetic number, because the mean of its divisors is an integer number (447536320).

Almost surely, 29849206540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9849206540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10740871680).

9849206540 is an abundant number, since it is smaller than the sum of its proper divisors (11632536820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9849206540 is a wasteful number, since it uses less digits than its factorization.

9849206540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97662 (or 97660 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The square root of 9849206540 is about 99243.1687321601. The cubic root of 9849206540 is about 2143.5506418267.

The spelling of 9849206540 in words is "nine billion, eight hundred forty-nine million, two hundred six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 163 310 326 620 652 815 1630 3260 5053 10106 20212 25265 50530 97459 101060 194918 389836 487295 974590 1949180 3021229 6042458 12084916 15106145 15885817 30212290 31771634 60424580 63543268 79429085 158858170 317716340 492460327 984920654 1969841308 2462301635 4924603270 9849206540