Base | Representation |
---|---|
bin | 101101000010101111… |
… | …101110001010110000 |
3 | 11121211121020102212000 |
4 | 231002233232022300 |
5 | 1243022244241014 |
6 | 34115053534000 |
7 | 3331342003602 |
oct | 550257561260 |
9 | 147747212760 |
10 | 48364446384 |
11 | 19569518451 |
12 | 94591a4300 |
13 | 4739c69217 |
14 | 24ab423172 |
15 | 13d0ec1509 |
hex | b42bee2b0 |
48364446384 has 40 divisors (see below), whose sum is σ = 138823875120. Its totient is φ = 16121481984.
The previous prime is 48364446379. The next prime is 48364446407.
48364446384 is a `hidden beast` number, since 48 + 3 + 64 + 4 + 463 + 84 = 666.
48364446384 is nontrivially palindromic in base 10.
48364446384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 48364446384.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55976937 + ... + 55977800.
It is an arithmetic number, because the mean of its divisors is an integer number (3470596878).
Almost surely, 248364446384 is an apocalyptic number.
It is an amenable number.
48364446384 is an abundant number, since it is smaller than the sum of its proper divisors (90459428736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
48364446384 is a wasteful number, since it uses less digits than its factorization.
48364446384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 111954754 (or 111954742 counting only the distinct ones).
The product of its digits is 21233664, while the sum is 54.
The spelling of 48364446384 in words is "forty-eight billion, three hundred sixty-four million, four hundred forty-six thousand, three hundred eighty-four".
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