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820220888142 = 23253859770323
BaseRepresentation
bin10111110111110001111…
…10011000010001001110
32220102010121022021210200
423323320332120101032
5101414303021410032
61424445420114330
7113154560341455
oct13737076302116
92812117267720
10820220888142
112969433432a7
12112b6a3959a6
135c467343046
142b9adb09b9c
151650864147c
hexbef8f9844e

820220888142 has 24 divisors (see below), whose sum is σ = 1810676302344. Its totient is φ = 268248340464.

The previous prime is 820220888141. The next prime is 820220888153. The reversal of 820220888142 is 241888022028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820220888141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 429884208 + ... + 429886115.

It is an arithmetic number, because the mean of its divisors is an integer number (75444845931).

Almost surely, 2820220888142 is an apocalyptic number.

820220888142 is an abundant number, since it is smaller than the sum of its proper divisors (990455414202).

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

820220888142 is a wasteful number, since it uses less digits than its factorization.

820220888142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859770384 (or 859770381 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The spelling of 820220888142 in words is "eight hundred twenty billion, two hundred twenty million, eight hundred eighty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 859770323 1719540646 2579310969 5158621938 7737932907 15475865814 45567827119 91135654238 136703481357 273406962714 410110444071 820220888142