Base | Representation |
---|---|
bin | 11100111000110000000… |
… | …00000000000000000000 |
3 | 10111212220211022011112010 |
4 | 32130120000000000000 |
5 | 112230210231123220 |
6 | 2035544442532520 |
7 | 131465032431153 |
oct | 16343000000000 |
9 | 3455824264463 |
10 | 992540098560 |
11 | 352a3001259a |
12 | 14043b807140 |
13 | 7279990a18a |
14 | 360797b1c9a |
15 | 1ac418a51e0 |
hex | e718000000 |
992540098560 has 448 divisors, whose sum is σ = 3478923496800. Its totient is φ = 240518168576.
The previous prime is 992540098547. The next prime is 992540098631. The reversal of 992540098560 is 65890045299.
It is a super-3 number, since 3×9925400985603 (a number of 37 digits) contains 333 as substring.
It is a zygodrome in base 2.
It is a self number, because there is not a number n which added to its sum of digits gives 992540098560.
It is a congruent number.
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, 34225520626 + ... + 34225520654.
Almost surely, 2992540098560 is an apocalyptic number.
992540098560 is a droll number since its even prime factors and its odd prime factors have the same sum.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 992540098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739461748400).
992540098560 is an abundant number, since it is smaller than the sum of its proper divisors (2486383398240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
992540098560 is an frugal number, since it uses more digits than its factorization.
992540098560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 108 (or 56 counting only the distinct ones).
The product of its (nonzero) digits is 6998400, while the sum is 57.
The spelling of 992540098560 in words is "nine hundred ninety-two billion, five hundred forty million, ninety-eight thousand, five hundred sixty".
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