Base | Representation |
---|---|
bin | 10000000001000100110… |
… | …01000101001101000000 |
3 | 1221121111122021121001011 |
4 | 20000202121011031000 |
5 | 33004040200023034 |
6 | 1100452554050304 |
7 | 54521521510621 |
oct | 10004231051500 |
9 | 1847448247034 |
10 | 550332814144 |
11 | 1a2438587763 |
12 | 8a7a9419994 |
13 | 3cb85b37439 |
14 | 1c8c9c29a48 |
15 | e4ae819864 |
hex | 8022645340 |
550332814144 has 112 divisors (see below), whose sum is σ = 1157776704000. Its totient is φ = 259179264000.
The previous prime is 550332814121. The next prime is 550332814169. The reversal of 550332814144 is 441418233055.
It is a junction number, because it is equal to n+sod(n) for n = 550332814097 and 550332814106.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11799382 + ... + 11845930.
It is an arithmetic number, because the mean of its divisors is an integer number (10337292000).
Almost surely, 2550332814144 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 550332814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578888352000).
550332814144 is an abundant number, since it is smaller than the sum of its proper divisors (607443889856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
550332814144 is a wasteful number, since it uses less digits than its factorization.
550332814144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 46752 (or 46742 counting only the distinct ones).
The product of its (nonzero) digits is 230400, while the sum is 40.
The spelling of 550332814144 in words is "five hundred fifty billion, three hundred thirty-two million, eight hundred fourteen thousand, one hundred forty-four".
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