| Base | Representation |
|---|---|
| bin | 11110111110110100100… |
| … | …011101001100000000000 |
| 3 | 21112112102022201020201000 |
| 4 | 132332310203221200000 |
| 5 | 234340232220233144 |
| 6 | 4310022214212000 |
| 7 | 306550355610210 |
| oct | 36766443514000 |
| 9 | 7475368636630 |
| 10 | 2129038055424 |
| 11 | 750a135297a5 |
| 12 | 2a4756654000 |
| 13 | 1259c9064417 |
| 14 | 750902b6240 |
| 15 | 3a5ab67a769 |
| hex | 1efb48e9800 |
2129038055424 has 768 divisors, whose sum is σ = 8033800320000. Its totient is φ = 542350245888.
The previous prime is 2129038055423. The next prime is 2129038055429. The reversal of 2129038055424 is 4245508309212.
2129038055424 is a `hidden beast` number, since 2 + 1 + 2 + 90 + 3 + 8 + 0 + 554 + 2 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (768).
It is a self number, because there is not a number n which added to its sum of digits gives 2129038055424.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2129038055423) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 125015742 + ... + 125032770.
It is an arithmetic number, because the mean of its divisors is an integer number (10460677500).
Almost surely, 22129038055424 is an apocalyptic number.
2129038055424 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 2129038055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016900160000).
2129038055424 is an abundant number, since it is smaller than the sum of its proper divisors (5904762264576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2129038055424 is a wasteful number, since it uses less digits than its factorization.
2129038055424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17103 (or 17077 counting only the distinct ones).
The product of its (nonzero) digits is 691200, while the sum is 45.
The spelling of 2129038055424 in words is "two trillion, one hundred twenty-nine billion, thirty-eight million, fifty-five thousand, four hundred twenty-four".
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