Base | Representation |
---|---|
bin | 101100111110101000… |
… | …000101101011000100 |
3 | 11121122210012022010000 |
4 | 230332220011223010 |
5 | 1242402101233034 |
6 | 34104144401300 |
7 | 3326542405512 |
oct | 547650055304 |
9 | 147583168100 |
10 | 48295336644 |
11 | 19533505265 |
12 | 943a016230 |
13 | 472884c999 |
14 | 24a21934b2 |
15 | 13c9dbe599 |
hex | b3ea05ac4 |
48295336644 has 135 divisors (see below), whose sum is σ = 131068568631. Its totient is φ = 15506406720.
The previous prime is 48295336627. The next prime is 48295336721. The reversal of 48295336644 is 44663359284.
The square root of 48295336644 is 219762.
It is a perfect power (a square), and thus also a powerful number.
48295336644 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 533 + 66 + 44 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 19666696644 + 28628640000 = 140238^2 + 169200^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 114715554 + ... + 114715974.
Almost surely, 248295336644 is an apocalyptic number.
48295336644 is the 219762-nd square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 48295336644
48295336644 is an abundant number, since it is smaller than the sum of its proper divisors (82773231987).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48295336644 is an equidigital number, since it uses as much as digits as its factorization.
48295336644 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 916 (or 455 counting only the distinct ones).
The product of its digits is 14929920, while the sum is 54.
The spelling of 48295336644 in words is "forty-eight billion, two hundred ninety-five million, three hundred thirty-six thousand, six hundred forty-four".
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