| Base | Representation |
|---|---|
| bin | 100001110111000001101… |
| … | …101010110110111100000 |
| 3 | 22020102221120212211200000 |
| 4 | 201313001231112313200 |
| 5 | 301110320230344333 |
| 6 | 4540532450100000 |
| 7 | 330051642603405 |
| oct | 41670155266740 |
| 9 | 8212846784600 |
| 10 | 2326827199968 |
| 11 | 817890326527 |
| 12 | 316b5587a600 |
| 13 | 13b55a320bab |
| 14 | 808948d22ac |
| 15 | 407d598b713 |
| hex | 21dc1b56de0 |
2326827199968 has 288 divisors, whose sum is σ = 7345596585600. Its totient is φ = 722330804736.
The previous prime is 2326827199967. The next prime is 2326827199999. The reversal of 2326827199968 is 8699917286232.
2326827199968 is a `hidden beast` number, since 2 + 3 + 268 + 271 + 9 + 9 + 96 + 8 = 666.
2326827199968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
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 = 2326827199896 and 2326827199905.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2326827199967) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8583430 + ... + 8850362.
It is an arithmetic number, because the mean of its divisors is an integer number (25505543700).
Almost surely, 22326827199968 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2326827199968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672798292800).
2326827199968 is an abundant number, since it is smaller than the sum of its proper divisors (5018769385632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2326827199968 is a wasteful number, since it uses less digits than its factorization.
2326827199968 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 267036 (or 267016 counting only the distinct ones).
The product of its digits is 282175488, while the sum is 72.
The spelling of 2326827199968 in words is "two trillion, three hundred twenty-six billion, eight hundred twenty-seven million, one hundred ninety-nine thousand, nine hundred sixty-eight".
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