Base | Representation |
---|---|
bin | 101101101101000101… |
… | …0100101101010000000 |
3 | 100101100012120122202122 |
4 | 1123122022211222000 |
5 | 3102002232124110 |
6 | 113031140103412 |
7 | 10043143615343 |
oct | 1333212455200 |
9 | 311305518678 |
10 | 98149489280 |
11 | 38696911aa7 |
12 | 17032094b68 |
13 | 934231599b |
14 | 4a7139a45a |
15 | 2846a55255 |
hex | 16da2a5a80 |
98149489280 has 128 divisors (see below), whose sum is σ = 236191816080. Its totient is φ = 39000932352.
The previous prime is 98149489201. The next prime is 98149489301. The reversal of 98149489280 is 8298494189.
98149489280 is digitally balanced in base 3, 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 8 ways, for example, as 53242793536 + 44906695744 = 230744^2 + 211912^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75673592 + ... + 75674888.
Almost surely, 298149489280 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 98149489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118095908040).
98149489280 is an abundant number, since it is smaller than the sum of its proper divisors (138042326800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
98149489280 is a wasteful number, since it uses less digits than its factorization.
98149489280 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2006 (or 1994 counting only the distinct ones).
The product of its (nonzero) digits is 11943936, while the sum is 62.
The spelling of 98149489280 in words is "ninety-eight billion, one hundred forty-nine million, four hundred eighty-nine thousand, two hundred eighty".
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