| Base | Representation |
|---|---|
| bin | 11110111111100010011… |
| … | …110100001101110010000 |
| 3 | 21112121102000101002200000 |
| 4 | 132333202132201232100 |
| 5 | 234343321431333114 |
| 6 | 4310230454530000 |
| 7 | 306605432151510 |
| oct | 36774236415620 |
| 9 | 7477360332600 |
| 10 | 2129808464784 |
| 11 | 751279399750 |
| 12 | 2a4930666900 |
| 13 | 125abc856750 |
| 14 | 7512473b840 |
| 15 | 3a604109e09 |
| hex | 1efe27a1b90 |
2129808464784 has 1920 divisors, whose sum is σ = 8696616714240. Its totient is φ = 486752716800.
The previous prime is 2129808464741. The next prime is 2129808464789. The reversal of 2129808464784 is 4874648089212.
2129808464784 is a `hidden beast` number, since 2 + 1 + 2 + 9 + 80 + 84 + 6 + 478 + 4 = 666.
It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is not an unprimeable number, because it can be changed into a prime (2129808464789) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15322362987 + ... + 15322363125.
It is an arithmetic number, because the mean of its divisors is an integer number (4529487872).
Almost surely, 22129808464784 is an apocalyptic number.
2129808464784 is a gapful number since it is divisible by the number (24) 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 2129808464784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348308357120).
2129808464784 is an abundant number, since it is smaller than the sum of its proper divisors (6566808249456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2129808464784 is a wasteful number, since it uses less digits than its factorization.
2129808464784 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 351 (or 333 counting only the distinct ones).
The product of its (nonzero) digits is 49545216, while the sum is 63.
The spelling of 2129808464784 in words is "two trillion, one hundred twenty-nine billion, eight hundred eight million, four hundred sixty-four thousand, seven hundred eighty-four".
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