Base | Representation |
---|---|
bin | 11111110110010000… |
… | …01000101111010000 |
3 | 1122010121010021211100 |
4 | 33323020020233100 |
5 | 240004104203143 |
6 | 11504343544400 |
7 | 1143464405556 |
oct | 177310105720 |
9 | 48117107740 |
10 | 17098116048 |
11 | 7284493722 |
12 | 339215b100 |
13 | 17c6427540 |
14 | b82b3dbd6 |
15 | 6a11086d3 |
hex | 3fb208bd0 |
17098116048 has 120 divisors (see below), whose sum is σ = 51615837000. Its totient is φ = 5252382720.
The previous prime is 17098116047. The next prime is 17098116059. The reversal of 17098116048 is 84061189071.
It is a happy number.
17098116048 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 4 ways, for example, as 4713097104 + 12385018944 = 68652^2 + 111288^2 .
It is a junction number, because it is equal to n+sod(n) for n = 17098115994 and 17098116012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (17098116047) 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 23 ways as a sum of consecutive naturals, for example, 1192828 + ... + 1207076.
It is an arithmetic number, because the mean of its divisors is an integer number (430131975).
Almost surely, 217098116048 is an apocalyptic number.
17098116048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 17098116048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25807918500).
17098116048 is an abundant number, since it is smaller than the sum of its proper divisors (34517720952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
17098116048 is a wasteful number, since it uses less digits than its factorization.
17098116048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14917 (or 14908 counting only the distinct ones).
The product of its (nonzero) digits is 96768, while the sum is 45.
The spelling of 17098116048 in words is "seventeen billion, ninety-eight million, one hundred sixteen thousand, forty-eight".
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