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9984258050 = 25213210872
BaseRepresentation
bin10010100110001101…
…11011000000000010
3221202211010212020012
421103012323000002
5130421432224200
64330421144522
7502263536024
oct112306730002
927684125205
109984258050
114263942938
121b2785b142
13c31668200
146aa026014
153d67eda35
hex2531bb002

9984258050 has 54 divisors (see below), whose sum is σ = 20127639483. Its totient is φ = 3683103840.

The previous prime is 9984258043. The next prime is 9984258113. The reversal of 9984258050 is 508524899.

It can be written as a sum of positive squares in 5 ways, for example, as 625050001 + 9359208049 = 25001^2 + 96743^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=70655.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 9984258050.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9184607 + ... + 9185693.

Almost surely, 29984258050 is an apocalyptic number.

9984258050 is an abundant number, since it is smaller than the sum of its proper divisors (10143381433).

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

9984258050 is a wasteful number, since it uses less digits than its factorization.

9984258050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 50.

The square root of 9984258050 is about 99921.2592494710. The cubic root of 9984258050 is about 2153.3035961977.

Multiplying 9984258050 by its sum of digits (50), we get a square (499212902500 = 7065502).

9984258050 divided by its sum of digits (50) gives a square (199685161 = 141312).

The spelling of 9984258050 in words is "nine billion, nine hundred eighty-four million, two hundred fifty-eight thousand, fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 169 325 338 650 845 1087 1690 2174 4225 5435 8450 10870 14131 27175 28262 54350 70655 141310 183703 353275 367406 706550 918515 1181569 1837030 2363138 4592575 5907845 9185150 11815690 15360397 29539225 30720794 59078450 76801985 153603970 199685161 384009925 399370322 768019850 998425805 1996851610 4992129025 9984258050