Base | Representation |
---|---|
bin | 11111111101110000… |
… | …00001010001000000 |
3 | 1122021222110010101121 |
4 | 33332320001101000 |
5 | 240121204000000 |
6 | 11514511442024 |
7 | 1145160043654 |
oct | 177670012100 |
9 | 48258403347 |
10 | 17161000000 |
11 | 7306a34331 |
12 | 33ab226314 |
13 | 1806474091 |
14 | b8b22ca64 |
15 | 6a68cab1a |
hex | 3fee01440 |
17161000000 has 147 divisors (see below), whose sum is σ = 42894197041. Its totient is φ = 6812000000.
The previous prime is 17160999997. The next prime is 17161000001. The reversal of 17161000000 is 16171.
The square root of 17161000000 is 131000.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 3 ways, for example, as 15034683456 + 2126316544 = 122616^2 + 46112^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (17161000001) by changing a digit.
It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 130999935 + ... + 131000065.
Almost surely, 217161000000 is an apocalyptic number.
17161000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
17161000000 is the 131000-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 17161000000
17161000000 is an abundant number, since it is smaller than the sum of its proper divisors (25733197041).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
17161000000 is an frugal number, since it uses more digits than its factorization.
17161000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 304 (or 138 counting only the distinct ones).
The product of its (nonzero) digits is 42, while the sum is 16.
Multiplying 17161000000 by its sum of digits (16), we get a square (274576000000 = 5240002).
17161000000 divided by its sum of digits (16) gives a square (1072562500 = 327502).
Adding to 17161000000 its reverse (16171), we get a palindrome (17161016171).
The spelling of 17161000000 in words is "seventeen billion, one hundred sixty-one million", and thus it is an aban number.
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