Base | Representation |
---|---|
bin | 1110011011111101001… |
… | …1011101100000000000 |
3 | 212201012010102212211011 |
4 | 3212333103131200000 |
5 | 13030422301420241 |
6 | 305535014530304 |
7 | 23630143021012 |
oct | 3467723354000 |
9 | 781163385734 |
10 | 248022685696 |
11 | 962053817a5 |
12 | 4009a366994 |
13 | 1a508528526 |
14 | c00bd801b2 |
15 | 66b9438281 |
hex | 39bf4dd800 |
248022685696 has 48 divisors (see below), whose sum is σ = 497109576600. Its totient is φ = 123714945024.
The previous prime is 248022685681. The next prime is 248022685717. The reversal of 248022685696 is 696586220842.
248022685696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 248022685696.
It is a congruent number.
It is an unprimeable number.
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 3 ways as a sum of consecutive naturals, for example, 713596 + ... + 1002628.
Almost surely, 2248022685696 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 248022685696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248554788300).
248022685696 is an abundant number, since it is smaller than the sum of its proper divisors (249086890904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
248022685696 is an equidigital number, since it uses as much as digits as its factorization.
248022685696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 289474 (or 289454 counting only the distinct ones).
The product of its (nonzero) digits is 19906560, while the sum is 58.
The spelling of 248022685696 in words is "two hundred forty-eight billion, twenty-two million, six hundred eighty-five thousand, six hundred ninety-six".
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