Base | Representation |
---|---|
bin | 11111101101110010… |
… | …10011010001000000 |
3 | 1121221122112020000100 |
4 | 33312321103101000 |
5 | 234332420240034 |
6 | 11453330122400 |
7 | 1141643054601 |
oct | 176671232100 |
9 | 47848466010 |
10 | 17027118144 |
11 | 7248400973 |
12 | 3372420400 |
13 | 17b47c974a |
14 | b7753bda8 |
15 | 699c82099 |
hex | 3f6e53440 |
17027118144 has 63 divisors (see below), whose sum is σ = 48814137957. Its totient is φ = 5674662144.
The previous prime is 17027118133. The next prime is 17027118149. The reversal of 17027118144 is 44181172071.
The square root of 17027118144 is 130488.
It is a perfect power (a square), and thus also a powerful number.
17027118144 is a `hidden beast` number, since 170 + 271 + 181 + 44 = 666.
17027118144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 9611841600 + 7415276544 = 98040^2 + 86112^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 17027118099 and 17027118108.
It is not an unprimeable number, because it can be changed into a prime (17027118149) 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 8 ways as a sum of consecutive naturals, for example, 3128994 + ... + 3134430.
Almost surely, 217027118144 is an apocalyptic number.
17027118144 is the 130488-th square number.
It is an amenable number.
17027118144 is an abundant number, since it is smaller than the sum of its proper divisors (31787019813).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
17027118144 is an frugal number, since it uses more digits than its factorization.
17027118144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10892 (or 5442 counting only the distinct ones).
The product of its (nonzero) digits is 12544, while the sum is 36.
Multiplying 17027118144 by its sum of digits (36), we get a square (612976253184 = 7829282).
17027118144 divided by its sum of digits (36) gives a square (472975504 = 217482).
Multiplying 17027118144 by its product of nonzero digits (12544), we get a square (213588169998336 = 146146562).
The spelling of 17027118144 in words is "seventeen billion, twenty-seven million, one hundred eighteen thousand, one hundred forty-four".
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