Base | Representation |
---|---|
bin | 1011100010011110110… |
… | …0001101011011001000 |
3 | 200221200021222201122000 |
4 | 2320213230031123020 |
5 | 11221441001140420 |
6 | 231022335031000 |
7 | 20215301365350 |
oct | 2704754153310 |
9 | 627607881560 |
10 | 198234396360 |
11 | 77086170040 |
12 | 3250436b460 |
13 | 159025b31b0 |
14 | 98477ddb60 |
15 | 5253462690 |
hex | 2e27b0d6c8 |
198234396360 has 1024 divisors, whose sum is σ = 917941248000. Its totient is φ = 36706037760.
The previous prime is 198234396323. The next prime is 198234396361. The reversal of 198234396360 is 63693432891.
198234396360 is a `hidden beast` number, since 1 + 98 + 2 + 3 + 439 + 63 + 60 = 666.
198234396360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 198234396297 and 198234396306.
It is not an unprimeable number, because it can be changed into a prime (198234396361) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31348159 + ... + 31354481.
It is an arithmetic number, because the mean of its divisors is an integer number (896427000).
Almost surely, 2198234396360 is an apocalyptic number.
198234396360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 198234396360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458970624000).
198234396360 is an abundant number, since it is smaller than the sum of its proper divisors (719706851640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198234396360 is a wasteful number, since it uses less digits than its factorization.
198234396360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6403 (or 6393 counting only the distinct ones).
The product of its (nonzero) digits is 5038848, while the sum is 54.
The spelling of 198234396360 in words is "one hundred ninety-eight billion, two hundred thirty-four million, three hundred ninety-six thousand, three hundred sixty".
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