| Base | Representation |
|---|---|
| bin | 11110111000000100000… |
| … | …010111101010100010000 |
| 3 | 21111211200121122122112000 |
| 4 | 132320010002331110100 |
| 5 | 234230402110303103 |
| 6 | 4302422202034000 |
| 7 | 306202505055210 |
| oct | 36700402752420 |
| 9 | 7454617578460 |
| 10 | 2121781728528 |
| 11 | 74892a51aa20 |
| 12 | 2a32704a8900 |
| 13 | 125110912077 |
| 14 | 749a26b4240 |
| 15 | 3a2d45ccaa3 |
| hex | 1ee040bd510 |
2121781728528 has 1280 divisors, whose sum is σ = 8025086361600. Its totient is φ = 520805376000.
The previous prime is 2121781728527. The next prime is 2121781728529. The reversal of 2121781728528 is 8258271871212.
2121781728528 is a `hidden beast` number, since 2 + 1 + 2 + 17 + 81 + 7 + 28 + 528 = 666.
It is an interprime number because it is at equal distance from previous prime (2121781728527) and next prime (2121781728529).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (2121781728527) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15264616683 + ... + 15264616821.
It is an arithmetic number, because the mean of its divisors is an integer number (6269598720).
Almost surely, 22121781728528 is an apocalyptic number.
2121781728528 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 2121781728528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012543180800).
2121781728528 is an abundant number, since it is smaller than the sum of its proper divisors (5903304633072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2121781728528 is a wasteful number, since it uses less digits than its factorization.
2121781728528 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 449 (or 437 counting only the distinct ones).
The product of its digits is 2007040, while the sum is 54.
The spelling of 2121781728528 in words is "two trillion, one hundred twenty-one billion, seven hundred eighty-one million, seven hundred twenty-eight thousand, five hundred twenty-eight".
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