| Base | Representation |
|---|---|
| bin | 10000010111010110010011… |
| … | …010101001101110000000000 |
| 3 | 100102211120111202112100122000 |
| 4 | 100113112103111031300000 |
| 5 | 33413202143112304133 |
| 6 | 413024014402544000 |
| 7 | 21105615644434101 |
| oct | 2027262325156000 |
| 9 | 312746452470560 |
| 10 | 71973238791168 |
| 11 | 20a29751a606a0 |
| 12 | 80a4a90068000 |
| 13 | 312107cba7060 |
| 14 | 13ab7480b23a8 |
| 15 | 84c2c83ab413 |
| hex | 41759354dc00 |
71973238791168 has 1408 divisors, whose sum is σ = 256301011814400. Its totient is φ = 19664496230400.
The previous prime is 71973238791161. The next prime is 71973238791173. The reversal of 71973238791168 is 86119783237917.
71973238791168 is a `hidden beast` number, since 7 + 19 + 73 + 2 + 387 + 9 + 1 + 168 = 666.
It is a tau number, because it is divible by the number of its divisors (1408).
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 = 71973238791096 and 71973238791105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (71973238791161) by changing a digit.
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 127 ways as a sum of consecutive naturals, for example, 31720245138 + ... + 31720247406.
Almost surely, 271973238791168 is an apocalyptic number.
71973238791168 is a gapful number since it is divisible by the number (78) 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 71973238791168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128150505907200).
71973238791168 is an abundant number, since it is smaller than the sum of its proper divisors (184327773023232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
71973238791168 is a wasteful number, since it uses less digits than its factorization.
71973238791168 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2506 (or 2482 counting only the distinct ones).
The product of its digits is 192036096, while the sum is 72.
The spelling of 71973238791168 in words is "seventy-one trillion, nine hundred seventy-three billion, two hundred thirty-eight million, seven hundred ninety-one thousand, one hundred sixty-eight".
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