Base | Representation |
---|---|
bin | 1110101101010010101… |
… | …10000111101000000101 |
3 | 1210022101212112211002200 |
4 | 13112221112013220011 |
5 | 31234430143242131 |
6 | 1024053342025113 |
7 | 51340046600334 |
oct | 7265126075005 |
9 | 1708355484080 |
10 | 505352321541 |
11 | 185356235931 |
12 | 81b35578199 |
13 | 38867c96442 |
14 | 1a65ddd7d1b |
15 | d22a9812e6 |
hex | 75a9587a05 |
505352321541 has 12 divisors (see below), whose sum is σ = 761690455968. Its totient is φ = 322253654184.
The previous prime is 505352321527. The next prime is 505352321563. The reversal of 505352321541 is 145123253505.
505352321541 is a `hidden beast` number, since 50 + 5 + 35 + 2 + 32 + 1 + 541 = 666.
It is not a de Polignac number, because 505352321541 - 218 = 505352059397 is a prime.
It is a super-2 number, since 2×5053523215412 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 505352321496 and 505352321505.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (505352321581) 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 11 ways as a sum of consecutive naturals, for example, 1220657575 + ... + 1220657988.
It is an arithmetic number, because the mean of its divisors is an integer number (63474204664).
Almost surely, 2505352321541 is an apocalyptic number.
It is an amenable number.
505352321541 is a deficient number, since it is larger than the sum of its proper divisors (256338134427).
505352321541 is a wasteful number, since it uses less digits than its factorization.
505352321541 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2441315592 (or 2441315589 counting only the distinct ones).
The product of its (nonzero) digits is 90000, while the sum is 36.
The spelling of 505352321541 in words is "five hundred five billion, three hundred fifty-two million, three hundred twenty-one thousand, five hundred forty-one".
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