Base | Representation |
---|---|
bin | 1011001110111111… |
… | …10010100010100000 |
3 | 120120100001112022002 |
4 | 11213133302202200 |
5 | 44323011312031 |
6 | 2434252503132 |
7 | 302314443332 |
oct | 54737624240 |
9 | 16510045262 |
10 | 6031354016 |
11 | 26155a65a6 |
12 | 1203a7aaa8 |
13 | 75172613c |
14 | 413051452 |
15 | 25477cccb |
hex | 1677f28a0 |
6031354016 has 72 divisors (see below), whose sum is σ = 12407407740. Its totient is φ = 2886071040.
The previous prime is 6031354013. The next prime is 6031354031. The reversal of 6031354016 is 6104531306.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 6 ways, for example, as 1243267600 + 4788086416 = 35260^2 + 69196^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 6031354016.
It is not an unprimeable number, because it can be changed into a prime (6031354013) 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 11 ways as a sum of consecutive naturals, for example, 98874626 + ... + 98874686.
Almost surely, 26031354016 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 6031354016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6203703870).
6031354016 is an abundant number, since it is smaller than the sum of its proper divisors (6376053724).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
6031354016 is an frugal number, since it uses more digits than its factorization.
6031354016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 243 (or 100 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 29.
The square root of 6031354016 is about 77661.7925108608. The cubic root of 6031354016 is about 1820.2803190977.
The spelling of 6031354016 in words is "six billion, thirty-one million, three hundred fifty-four thousand, sixteen".
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