Base | Representation |
---|---|
bin | 101001101100011000… |
… | …010111101000111000 |
3 | 11021112221220001200010 |
4 | 221230120113220320 |
5 | 1213141102004233 |
6 | 32322141341520 |
7 | 3143251504044 |
oct | 515430275070 |
9 | 137487801603 |
10 | 44768000568 |
11 | 17a93407485 |
12 | 88148678a0 |
13 | 42b5b31a85 |
14 | 224991b024 |
15 | 12703b2b63 |
hex | a6c617a38 |
44768000568 has 128 divisors (see below), whose sum is σ = 115123680000. Its totient is φ = 14501760000.
The previous prime is 44768000539. The next prime is 44768000569. The reversal of 44768000568 is 86500086744.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (44768000569) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 89715183 + ... + 89715681.
It is an arithmetic number, because the mean of its divisors is an integer number (899403750).
Almost surely, 244768000568 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 44768000568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57561840000).
44768000568 is an abundant number, since it is smaller than the sum of its proper divisors (70355679432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44768000568 is a wasteful number, since it uses less digits than its factorization.
44768000568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1093 (or 1089 counting only the distinct ones).
The product of its (nonzero) digits is 1290240, while the sum is 48.
The spelling of 44768000568 in words is "forty-four billion, seven hundred sixty-eight million, five hundred sixty-eight", and thus it is an aban number.
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