Base | Representation |
---|---|
bin | 11100000011011111… |
… | …00000010110101110 |
3 | 1102212200002101000100 |
4 | 32001233200112232 |
5 | 221321233203141 |
6 | 10530314411530 |
7 | 1042145424021 |
oct | 160157402656 |
9 | 42780071010 |
10 | 15061616046 |
11 | 6429987074 |
12 | 2b04130ba6 |
13 | 1560540759 |
14 | a2c4a31b8 |
15 | 5d24360b6 |
hex | 381be05ae |
15061616046 has 96 divisors (see below), whose sum is σ = 34849152000. Its totient is φ = 4687792704.
The previous prime is 15061616029. The next prime is 15061616047. The reversal of 15061616046 is 64061616051.
It is a happy number.
15061616046 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 15061616046.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (15061616047) 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 47 ways as a sum of consecutive naturals, for example, 8418120 + ... + 8419908.
It is an arithmetic number, because the mean of its divisors is an integer number (363012000).
Almost surely, 215061616046 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 15061616046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424576000).
15061616046 is an abundant number, since it is smaller than the sum of its proper divisors (19787535954).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
15061616046 is a wasteful number, since it uses less digits than its factorization.
15061616046 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2158 (or 2155 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The spelling of 15061616046 in words is "fifteen billion, sixty-one million, six hundred sixteen thousand, forty-six".
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