| Base | Representation |
|---|---|
| bin | 1010000001111010001101… |
| … | …10100001011010110100000 |
| 3 | 2220002111222202210211000000 |
| 4 | 11000331012310023112200 |
| 5 | 10342330332324214224 |
| 6 | 114524152042300000 |
| 7 | 4434324255322500 |
| oct | 500750664132640 |
| 9 | 86074882724000 |
| 10 | 22055845148064 |
| 11 | 7033916656152 |
| 12 | 25826a1ab7600 |
| 13 | c3cb1b576400 |
| 14 | 56371985ba00 |
| 15 | 283aca9540c9 |
| hex | 140f46d0b5a0 |
22055845148064 has 3024 divisors, whose sum is σ = 88260799979520. Its totient is φ = 5392373575680.
The previous prime is 22055845148053. The next prime is 22055845148123. The reversal of 22055845148064 is 46084154855022.
22055845148064 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 58 + 4 + 51 + 480 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (3024).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 22055845148064.
It is an unprimeable number.
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 503 ways as a sum of consecutive naturals, for example, 173668071969 + ... + 173668072095.
It is an arithmetic number, because the mean of its divisors is an integer number (29186772480).
Almost surely, 222055845148064 is an apocalyptic number.
22055845148064 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 22055845148064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44130399989760).
22055845148064 is an abundant number, since it is smaller than the sum of its proper divisors (66204954831456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22055845148064 is a wasteful number, since it uses less digits than its factorization.
22055845148064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 255 (or 212 counting only the distinct ones).
The product of its (nonzero) digits is 12288000, while the sum is 54.
The spelling of 22055845148064 in words is "twenty-two trillion, fifty-five billion, eight hundred forty-five million, one hundred forty-eight thousand, sixty-four".
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