| Base | Representation |
|---|---|
| bin | 11110110111111001000… |
| … | …111110001101101000000 |
| 3 | 21111211012211202202002100 |
| 4 | 132313321013301231000 |
| 5 | 234230013200123204 |
| 6 | 4302352053350400 |
| 7 | 306165121132065 |
| oct | 36677107615500 |
| 9 | 7454184682070 |
| 10 | 2121598442304 |
| 11 | 748846013300 |
| 12 | 2a321b038400 |
| 13 | 1250b195a493 |
| 14 | 74986202c6c |
| 15 | 3a2c3475a39 |
| hex | 1edf91f1b40 |
2121598442304 has 252 divisors, whose sum is σ = 6914769678180. Its totient is φ = 620738764800.
The previous prime is 2121598442297. The next prime is 2121598442321. The reversal of 2121598442304 is 4032448951212.
2121598442304 is a `hidden beast` number, since 2 + 1 + 21 + 598 + 4 + 4 + 2 + 30 + 4 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 1370866305600 + 750732136704 = 1170840^2 + 866448^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 2121598442304.
It is a congruent number.
It is an unprimeable number.
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 35 ways as a sum of consecutive naturals, for example, 1496344 + ... + 2546024.
It is an arithmetic number, because the mean of its divisors is an integer number (27439562215).
Almost surely, 22121598442304 is an apocalyptic number.
2121598442304 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 2121598442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457384839090).
2121598442304 is an abundant number, since it is smaller than the sum of its proper divisors (4793171235876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2121598442304 is a wasteful number, since it uses less digits than its factorization.
2121598442304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1049750 (or 1049726 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 2121598442304 in words is "two trillion, one hundred twenty-one billion, five hundred ninety-eight million, four hundred forty-two thousand, three hundred four".
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