Base | Representation |
---|---|
bin | 1001101100010000… |
… | …11000111010100000 |
3 | 111102121121200222200 |
4 | 10312020120322200 |
5 | 41124000324120 |
6 | 2220145133200 |
7 | 242636633115 |
oct | 46610307240 |
9 | 14377550880 |
10 | 5203136160 |
11 | 2230042232 |
12 | 101262a200 |
13 | 64bc734c1 |
14 | 37505c90c |
15 | 206bcee90 |
hex | 136218ea0 |
5203136160 has 144 divisors (see below), whose sum is σ = 18188974440. Its totient is φ = 1353646080.
The previous prime is 5203136129. The next prime is 5203136167. The reversal of 5203136160 is 616313025.
5203136160 is a `hidden beast` number, since 520 + 3 + 136 + 1 + 6 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2058618384 + 3144517776 = 45372^2 + 56076^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is not an unprimeable number, because it can be changed into a prime (5203136167) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14976 + ... + 103104.
Almost surely, 25203136160 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 5203136160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9094487220).
5203136160 is an abundant number, since it is smaller than the sum of its proper divisors (12985838280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5203136160 is a wasteful number, since it uses less digits than its factorization.
5203136160 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 88191 (or 88180 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 27.
The square root of 5203136160 is about 72132.7675886625. The cubic root of 5203136160 is about 1732.8264309983.
Adding to 5203136160 its reverse (616313025), we get a palindrome (5819449185).
The spelling of 5203136160 in words is "five billion, two hundred three million, one hundred thirty-six thousand, one hundred sixty".
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