| Base | Representation |
|---|---|
| bin | 1110011011110011000… |
| … | …0111111101000000000 |
| 3 | 212201002011022002202000 |
| 4 | 3212330300333220000 |
| 5 | 13030330401033000 |
| 6 | 305530454024000 |
| 7 | 23626115015550 |
| oct | 3467460775000 |
| 9 | 781064262660 |
| 10 | 247980096000 |
| 11 | 961933324aa |
| 12 | 40088048000 |
| 13 | 1a4cc766020 |
| 14 | c006455160 |
| 15 | 66b5824000 |
| hex | 39bcc3fa00 |
247980096000 has 2560 divisors, whose sum is σ = 1201123123200. Its totient is φ = 48970137600.
The previous prime is 247980095989. The next prime is 247980096029. The reversal of 247980096000 is 690089742.
It is a happy number.
247980096000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (2560).
It is a super-2 number, since 2×2479800960002 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 255 ways as a sum of consecutive naturals, for example, 2987711959 + ... + 2987712041.
It is an arithmetic number, because the mean of its divisors is an integer number (469188720).
Almost surely, 2247980096000 is an apocalyptic number.
247980096000 is a gapful number since it is divisible by the number (20) 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 247980096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600561561600).
247980096000 is an abundant number, since it is smaller than the sum of its proper divisors (953143027200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
247980096000 is a wasteful number, since it uses less digits than its factorization.
247980096000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164 (or 132 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The spelling of 247980096000 in words is "two hundred forty-seven billion, nine hundred eighty million, ninety-six thousand".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.098 sec. • engine limits •