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9985805041 = 999292
BaseRepresentation
bin10010100110011001…
…10100101011110001
3221202221001110022011
421103030310223301
5130422331230131
64330514242521
7502312641142
oct112314645361
927687043264
109985805041
1142647aa143
121b28286441
13c31a8a3a4
146aa309ac9
153d6a070b1
hex253334af1

9985805041 has 3 divisors (see below), whose sum is σ = 9985904971. Its totient is φ = 9985705112.

The previous prime is 9985805023. The next prime is 9985805069. The reversal of 9985805041 is 1405085899.

The square root of 9985805041 is 99929.

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

9985805041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1405085899 = 7200726557.

It can be written as a sum of positive squares in only one way, i.e., 9790641 + 9976014400 = 3129^2 + 99880^2 .

It is not a de Polignac number, because 9985805041 - 211 = 9985802993 is a prime.

It is a super-2 number, since 2×99858050412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9985805021) 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 2 ways as a sum of consecutive naturals, for example, 49965 + ... + 149893.

Almost surely, 29985805041 is an apocalyptic number.

9985805041 is the 99929-th square number.

9985805041 is the 49965-th centered octagonal number.

It is an amenable number.

9985805041 is a deficient number, since it is larger than the sum of its proper divisors (99930).

9985805041 is an frugal number, since it uses more digits than its factorization.

9985805041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199858 (or 99929 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 49.

The cubic root of 9985805041 is about 2153.4148035682.

Multiplying 9985805041 by its sum of digits (49), we get a square (489304447009 = 6995032).

The spelling of 9985805041 in words is "nine billion, nine hundred eighty-five million, eight hundred five thousand, forty-one".

Divisors: 1 99929 9985805041