| Base | Representation |
|---|---|
| bin | 1001010000001100011011… |
| … | …00001111101100000000000 |
| 3 | 2200001012210122020110211000 |
| 4 | 10220012031201331200000 |
| 5 | 10131333423422240024 |
| 6 | 111135324013252000 |
| 7 | 4200032232101310 |
| oct | 450061541754000 |
| 9 | 80035718213730 |
| 10 | 20347634571264 |
| 11 | 6535424287800 |
| 12 | 2347611794000 |
| 13 | b47a09aac290 |
| 14 | 504b8b8ad440 |
| 15 | 25444e3e1cc9 |
| hex | 12818d87d800 |
20347634571264 has 2304 divisors, whose sum is σ = 85145011660800. Its totient is φ = 4663231119360.
The previous prime is 20347634571263. The next prime is 20347634571301. The reversal of 20347634571264 is 46217543674302.
20347634571264 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 7 + 6 + 3 + 4 + 571 + 2 + 64 = 666.
It is a tau number, because it is divible by the number of its divisors (2304).
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 20347634571264.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (20347634571263) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14003877162 + ... + 14003878614.
It is an arithmetic number, because the mean of its divisors is an integer number (36955300200).
Almost surely, 220347634571264 is an apocalyptic number.
20347634571264 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 20347634571264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42572505830400).
20347634571264 is an abundant number, since it is smaller than the sum of its proper divisors (64797377089536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20347634571264 is a wasteful number, since it uses less digits than its factorization.
20347634571264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1549 (or 1512 counting only the distinct ones).
The product of its (nonzero) digits is 20321280, while the sum is 54.
The spelling of 20347634571264 in words is "twenty trillion, three hundred forty-seven billion, six hundred thirty-four million, five hundred seventy-one thousand, two hundred sixty-four".
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