Base | Representation |
---|---|
bin | 1110101101000000100… |
… | …10000010000011100000 |
3 | 1210022000021102001021222 |
4 | 13112200102002003200 |
5 | 31234122231131300 |
6 | 1024030310434212 |
7 | 51333222213254 |
oct | 7264022020340 |
9 | 1708007361258 |
10 | 505200255200 |
11 | 185288412173 |
12 | 81ab2662968 |
13 | 38842622b64 |
14 | 1a647b32264 |
15 | d21c444785 |
hex | 75a04820e0 |
505200255200 has 144 divisors (see below), whose sum is σ = 1260445826304. Its totient is φ = 197641612800.
The previous prime is 505200255199. The next prime is 505200255221. The reversal of 505200255200 is 2552002505.
It is a super-3 number, since 3×5052002552003 (a number of 36 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 505200255200.
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 65683355 + ... + 65691045.
It is an arithmetic number, because the mean of its divisors is an integer number (8753096016).
Almost surely, 2505200255200 is an apocalyptic number.
505200255200 is a gapful number since it is divisible by the number (50) 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 505200255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630222913152).
505200255200 is an abundant number, since it is smaller than the sum of its proper divisors (755245571104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
505200255200 is a wasteful number, since it uses less digits than its factorization.
505200255200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9505 (or 9492 counting only the distinct ones).
The product of its (nonzero) digits is 5000, while the sum is 26.
Adding to 505200255200 its reverse (2552002505), we get a palindrome (507752257705).
The spelling of 505200255200 in words is "five hundred five billion, two hundred million, two hundred fifty-five thousand, two hundred".
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