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9861880249 = 13276392
BaseRepresentation
bin10010010111101000…
…00101100110111001
3221110021212102110001
421023310011212321
5130144120131444
64310330153001
7466246412314
oct111364054671
927407772401
109861880249
114200857661
121ab2882761
13c121bac00
14697a8b97b
153cabc88d4
hex24bd059b9

9861880249 has 9 divisors (see below), whose sum is σ = 10680238863. Its totient is φ = 9102082392.

The previous prime is 9861880247. The next prime is 9861880253. The reversal of 9861880249 is 9420881689.

The square root of 9861880249 is 99307.

It is a perfect power (a square), and thus also a powerful number.

9861880249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1458858025 + 8403022224 = 38195^2 + 91668^2 .

It is not a de Polignac number, because 9861880249 - 21 = 9861880247 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9861880249.

It is not an unprimeable number, because it can be changed into a prime (9861880241) 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 8 ways as a sum of consecutive naturals, for example, 1287172 + ... + 1294810.

It is an arithmetic number, because the mean of its divisors is an integer number (1186693207).

Almost surely, 29861880249 is an apocalyptic number.

9861880249 is the 99307-th square number.

9861880249 is the 49654-th centered octagonal number.

It is an amenable number.

9861880249 is a deficient number, since it is larger than the sum of its proper divisors (818358614).

9861880249 is an frugal number, since it uses more digits than its factorization.

9861880249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304 (or 7652 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The cubic root of 9861880249 is about 2144.4696699326.

The spelling of 9861880249 in words is "nine billion, eight hundred sixty-one million, eight hundred eighty thousand, two hundred forty-nine".

Divisors: 1 13 169 7639 99307 1290991 58354321 758606173 9861880249