| Base | Representation |
|---|---|
| bin | 100111111101010011110… |
| … | …000000010101011101000 |
| 3 | 100201111121201222101200000 |
| 4 | 213331103300002223220 |
| 5 | 324442040114024333 |
| 6 | 5501235531143000 |
| 7 | 402245460065130 |
| oct | 47752360025350 |
| 9 | 10644551871600 |
| 10 | 2745889204968 |
| 11 | 969585964368 |
| 12 | 3842088a4a60 |
| 13 | 16bc22bc9420 |
| 14 | 96c8a56dac0 |
| 15 | 4b660abb713 |
| hex | 27f53c02ae8 |
2745889204968 has 1536 divisors, whose sum is σ = 10484094566400. Its totient is φ = 654848686080.
The previous prime is 2745889204897. The next prime is 2745889204969. The reversal of 2745889204968 is 8694029885472.
2745889204968 is a `hidden beast` number, since 2 + 7 + 4 + 58 + 89 + 2 + 0 + 496 + 8 = 666.
2745889204968 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 (72).
It is a junction number, because it is equal to n+sod(n) for n = 2745889204896 and 2745889204905.
It is not an unprimeable number, because it can be changed into a prime (2745889204969) by changing a digit.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37614920580 + ... + 37614920652.
It is an arithmetic number, because the mean of its divisors is an integer number (6825582400).
Almost surely, 22745889204968 is an apocalyptic number.
2745889204968 is a gapful number since it is divisible by the number (28) 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 2745889204968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242047283200).
2745889204968 is an abundant number, since it is smaller than the sum of its proper divisors (7738205361432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2745889204968 is a wasteful number, since it uses less digits than its factorization.
2745889204968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 202 (or 148 counting only the distinct ones).
The product of its (nonzero) digits is 557383680, while the sum is 72.
The spelling of 2745889204968 in words is "two trillion, seven hundred forty-five billion, eight hundred eighty-nine million, two hundred four thousand, nine hundred sixty-eight".
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