Base | Representation |
---|---|
bin | 1111011100010101101… |
… | …01100001101101000100 |
3 | 1212201121010211021200100 |
4 | 13232022311201231010 |
5 | 32143142211434100 |
6 | 1043431535244100 |
7 | 53223005556222 |
oct | 7561265415504 |
9 | 1781533737610 |
10 | 530610264900 |
11 | 195037730591 |
12 | 86a04379630 |
13 | 3b061a93a61 |
14 | 1b978727b12 |
15 | dc08106400 |
hex | 7b8ad61b44 |
530610264900 has 81 divisors (see below), whose sum is σ = 1663236896503. Its totient is φ = 141490243200.
The previous prime is 530610264803. The next prime is 530610264901. The reversal of 530610264900 is 9462016035.
It is a happy number.
The square root of 530610264900 is 728430.
It is a perfect power (a square), and thus also a powerful number.
530610264900 is a `hidden beast` number, since 5 + 3 + 0 + 6 + 1 + 0 + 2 + 649 + 0 + 0 = 666.
530610264900 is nontrivially palindromic in base 11.
It can be written as a sum of positive squares in 4 ways, for example, as 95358675204 + 435251589696 = 308802^2 + 659736^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (530610264901) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21840760 + ... + 21865040.
Almost surely, 2530610264900 is an apocalyptic number.
530610264900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.
530610264900 is the 728430-th square number.
It is an amenable number.
530610264900 is an abundant number, since it is smaller than the sum of its proper divisors (1132626631603).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
530610264900 is an equidigital number, since it uses as much as digits as its factorization.
530610264900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 48582 (or 24291 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
Multiplying 530610264900 by its sum of digits (36), we get a square (19101969536400 = 43705802).
530610264900 divided by its sum of digits (36) gives a square (14739174025 = 1214052).
The spelling of 530610264900 in words is "five hundred thirty billion, six hundred ten million, two hundred sixty-four thousand, nine hundred".
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