Base | Representation |
---|---|
bin | 1110101100111010101… |
… | …00011111000100000000 |
3 | 1210021212210220121102112 |
4 | 13112131110133010000 |
5 | 31234022021113111 |
6 | 1024021333434452 |
7 | 51332046653561 |
oct | 7263524370400 |
9 | 1707783817375 |
10 | 505150566656 |
11 | 18526236445a |
12 | 81a99a9ba28 |
13 | 38835246458 |
14 | 1a6412ba168 |
15 | d217dcbe8b |
hex | 759d51f100 |
505150566656 has 72 divisors (see below), whose sum is σ = 1014798599640. Its totient is φ = 250956333056.
The previous prime is 505150566619. The next prime is 505150566667. The reversal of 505150566656 is 656665051505.
It can be written as a sum of positive squares in 4 ways, for example, as 187523641600 + 317626925056 = 433040^2 + 563584^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103321460 + ... + 103326348.
It is an arithmetic number, because the mean of its divisors is an integer number (14094424995).
Almost surely, 2505150566656 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 505150566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507399299820).
505150566656 is an abundant number, since it is smaller than the sum of its proper divisors (509648032984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
505150566656 is a wasteful number, since it uses less digits than its factorization.
505150566656 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7411 (or 7397 counting only the distinct ones).
The product of its (nonzero) digits is 4050000, while the sum is 50.
The spelling of 505150566656 in words is "five hundred five billion, one hundred fifty million, five hundred sixty-six thousand, six hundred fifty-six".
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