Base | Representation |
---|---|
bin | 1011100011111011001… |
… | …1101110010100000000 |
3 | 200222200022210022220010 |
4 | 2320332303232110000 |
5 | 11223234243221143 |
6 | 231125031544520 |
7 | 20231021125656 |
oct | 2707663562400 |
9 | 628608708803 |
10 | 198622242048 |
11 | 7726509426a |
12 | 325b222b140 |
13 | 15964a5a499 |
14 | 988311cdd6 |
15 | 5277524a33 |
hex | 2e3ecee500 |
198622242048 has 144 divisors (see below), whose sum is σ = 556156996416. Its totient is φ = 62846484480.
The previous prime is 198622241999. The next prime is 198622242053. The reversal of 198622242048 is 840242226891.
198622242048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 198622241988 and 198622242006.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1079815 + ... + 1250297.
It is an arithmetic number, because the mean of its divisors is an integer number (3862201364).
Almost surely, 2198622242048 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 198622242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278078498208).
198622242048 is an abundant number, since it is smaller than the sum of its proper divisors (357534754368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
198622242048 is a wasteful number, since it uses less digits than its factorization.
198622242048 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 170580 (or 170566 counting only the distinct ones).
The product of its (nonzero) digits is 884736, while the sum is 48.
The spelling of 198622242048 in words is "one hundred ninety-eight billion, six hundred twenty-two million, two hundred forty-two thousand, forty-eight".
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