| Base | Representation |
|---|---|
| bin | 1001110110110110101101… |
| … | …01010101000111010000000 |
| 3 | 2211202012120011100002120000 |
| 4 | 10323123112222220322000 |
| 5 | 10320114430124234230 |
| 6 | 114033453033320000 |
| 7 | 4365016435022430 |
| oct | 473332652507200 |
| 9 | 84665504302500 |
| 10 | 21676006477440 |
| 11 | 69a7819622a37 |
| 12 | 2520b56866000 |
| 13 | c13066b7a583 |
| 14 | 54d1a51782c0 |
| 15 | 278c99042b60 |
| hex | 13b6d6aa8e80 |
21676006477440 has 640 divisors, whose sum is σ = 88490421993600. Its totient is φ = 4953223913472.
The previous prime is 21676006477427. The next prime is 21676006477441. The reversal of 21676006477440 is 4477460067612.
21676006477440 is a `hidden beast` number, since 2 + 1 + 6 + 76 + 0 + 0 + 64 + 77 + 440 = 666.
21676006477440 is digitally balanced in base 5, 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 (640).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (21676006477441) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2478103147 + ... + 2478111893.
It is an arithmetic number, because the mean of its divisors is an integer number (138266284365).
Almost surely, 221676006477440 is an apocalyptic number.
21676006477440 is a gapful number since it is divisible by the number (20) 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 21676006477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44245210996800).
21676006477440 is an abundant number, since it is smaller than the sum of its proper divisors (66814415516160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21676006477440 is an equidigital number, since it uses as much as digits as its factorization.
21676006477440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15614 (or 15593 counting only the distinct ones).
The product of its (nonzero) digits is 9483264, while the sum is 54.
The spelling of 21676006477440 in words is "twenty-one trillion, six hundred seventy-six billion, six million, four hundred seventy-seven thousand, four hundred forty".
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