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9820075000 = 2355392803
BaseRepresentation
bin10010010010101001…
…00111001111111000
3221100101012111102111
421021110213033320
5130102414400000
64302234142104
7465231155161
oct111124471770
927311174374
109820075000
11418a1a376a
121aa0881934
13c06641788
146922c8768
153c71bbcba
hex2495273f8

9820075000 has 48 divisors (see below), whose sum is σ = 23014386360. Its totient is φ = 3928020000.

The previous prime is 9820074977. The next prime is 9820075051. The reversal of 9820075000 is 5700289.

9820075000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 171402 + ... + 221401.

Almost surely, 29820075000 is an apocalyptic number.

It is an amenable number.

9820075000 is an abundant number, since it is smaller than the sum of its proper divisors (13194311360).

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

9820075000 is an equidigital number, since it uses as much as digits as its factorization.

9820075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392834 (or 392810 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 9820075000 is about 99096.2915552343. The cubic root of 9820075000 is about 2141.4351889058.

Adding to 9820075000 its reverse (5700289), we get a palindrome (9825775289).

The spelling of 9820075000 in words is "nine billion, eight hundred twenty million, seventy-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 25000 392803 785606 1571212 1964015 3142424 3928030 7856060 9820075 15712120 19640150 39280300 49100375 78560600 98200750 196401500 245501875 392803000 491003750 982007500 1227509375 1964015000 2455018750 4910037500 9820075000