| Base | Representation |
|---|---|
| bin | 1001110100110101111111… |
| … | …01011001011010100000000 |
| 3 | 2211111121012002200121101000 |
| 4 | 10322122333223023110000 |
| 5 | 10313001413211000124 |
| 6 | 113542023505012000 |
| 7 | 4360022104304001 |
| oct | 472327753132400 |
| 9 | 84447162617330 |
| 10 | 21606901265664 |
| 11 | 6980487523570 |
| 12 | 250b68b624000 |
| 13 | c096a2c23310 |
| 14 | 549acb3231a8 |
| 15 | 2770a227e6c9 |
| hex | 13a6bfacb500 |
21606901265664 has 576 divisors, whose sum is σ = 75657444065280. Its totient is φ = 5996263956480.
The previous prime is 21606901265647. The next prime is 21606901265669. The reversal of 21606901265664 is 46656210960612.
21606901265664 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 69 + 0 + 12 + 6 + 566 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-3 number, since 3×216069012656643 (a number of 41 digits) contains 333 as substring.
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 21606901265664.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21606901265669) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 125442769 + ... + 125614895.
It is an arithmetic number, because the mean of its divisors is an integer number (131349729280).
Almost surely, 221606901265664 is an apocalyptic number.
21606901265664 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 21606901265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37828722032640).
21606901265664 is an abundant number, since it is smaller than the sum of its proper divisors (54050542799616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21606901265664 is a wasteful number, since it uses less digits than its factorization.
21606901265664 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 172303 (or 172283 counting only the distinct ones).
The product of its (nonzero) digits is 5598720, while the sum is 54.
The spelling of 21606901265664 in words is "twenty-one trillion, six hundred six billion, nine hundred one million, two hundred sixty-five thousand, six hundred sixty-four".
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