Base | Representation |
---|---|
bin | 1001100010001100… |
… | …01000100000000000 |
3 | 111012201122210111200 |
4 | 10301012020200000 |
5 | 40440334033220 |
6 | 2203530341200 |
7 | 240562610541 |
oct | 46106104000 |
9 | 14181583450 |
10 | 5118658560 |
11 | 2197392a34 |
12 | baa28a800 |
13 | 637606062 |
14 | 367b4c4c8 |
15 | 1ee594890 |
hex | 131188800 |
5118658560 has 144 divisors (see below), whose sum is σ = 17740670220. Its totient is φ = 1364951040.
The previous prime is 5118658549. The next prime is 5118658561. The reversal of 5118658560 is 658568115.
5118658560 is a `hidden beast` number, since 5 + 1 + 1 + 8 + 6 + 585 + 60 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 4528751616 + 589906944 = 67296^2 + 24288^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×51186585602 = 52401330907722547200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (5118658561) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64390 + ... + 119930.
Almost surely, 25118658560 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 5118658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870335110).
5118658560 is an abundant number, since it is smaller than the sum of its proper divisors (12622011660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
5118658560 is a wasteful number, since it uses less digits than its factorization.
5118658560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 55574 (or 55551 counting only the distinct ones).
The product of its (nonzero) digits is 288000, while the sum is 45.
The square root of 5118658560 is about 71544.8010689805. The cubic root of 5118658560 is about 1723.3972157076.
It can be divided in two parts, 51186 and 58560, that added together give a triangular number (109746 = T468).
The spelling of 5118658560 in words is "five billion, one hundred eighteen million, six hundred fifty-eight thousand, five hundred sixty".
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