Base | Representation |
---|---|
bin | 101011111100010010… |
… | …011001111100000001 |
3 | 11111210012221001000000 |
4 | 223330102121330001 |
5 | 1233112140344400 |
6 | 33401505350213 |
7 | 3260136260604 |
oct | 537422317401 |
9 | 144705831000 |
10 | 47182356225 |
11 | 19012234634 |
12 | 9189338369 |
13 | 45ac0a59a4 |
14 | 23d843633b |
15 | 1362322600 |
hex | afc499f01 |
47182356225 has 63 divisors (see below), whose sum is σ = 87773606553. Its totient is φ = 25148283840.
The previous prime is 47182356217. The next prime is 47182356253. The reversal of 47182356225 is 52265328174.
The square root of 47182356225 is 217215.
It is a perfect power (a square), and thus also a powerful number.
47182356225 is a `hidden beast` number, since 4 + 7 + 1 + 82 + 3 + 562 + 2 + 5 = 666.
47182356225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 10598908401 + 36583447824 = 102951^2 + 191268^2 .
It is not a de Polignac number, because 47182356225 - 23 = 47182356217 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 29323221 + ... + 29324829.
Almost surely, 247182356225 is an apocalyptic number.
47182356225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
47182356225 is the 217215-th square number.
47182356225 is the 108608-th centered octagonal number.
It is an amenable number.
47182356225 is a deficient number, since it is larger than the sum of its proper divisors (40591250328).
47182356225 is an frugal number, since it uses more digits than its factorization.
47182356225 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3246 (or 1617 counting only the distinct ones).
The product of its digits is 806400, while the sum is 45.
The spelling of 47182356225 in words is "forty-seven billion, one hundred eighty-two million, three hundred fifty-six thousand, two hundred twenty-five".
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