Base | Representation |
---|---|
bin | 10000100111100010010111… |
… | …100000100101011000100000 |
3 | 100120202220222110201222112010 |
4 | 100213202113200211120200 |
5 | 34034414011041110310 |
6 | 415235035355232520 |
7 | 21252160624612266 |
oct | 2047422740453040 |
9 | 316686873658463 |
10 | 73085705410080 |
11 | 213185233aaa20 |
12 | 82445baa48740 |
13 | 31a1c4c6b1cbc |
14 | 140951d140436 |
15 | 86b1d8550320 |
hex | 427897825620 |
73085705410080 has 768 divisors, whose sum is σ = 256272474931200. Its totient is φ = 17360179200000.
The previous prime is 73085705410079. The next prime is 73085705410087. The reversal of 73085705410080 is 8001450758037.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is not an unprimeable number, because it can be changed into a prime (73085705410087) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56699538076 + ... + 56699539364.
It is an arithmetic number, because the mean of its divisors is an integer number (333688118400).
Almost surely, 273085705410080 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 73085705410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128136237465600).
73085705410080 is an abundant number, since it is smaller than the sum of its proper divisors (183186769521120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73085705410080 is a wasteful number, since it uses less digits than its factorization.
73085705410080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2329 (or 2321 counting only the distinct ones).
The product of its (nonzero) digits is 940800, while the sum is 48.
The spelling of 73085705410080 in words is "seventy-three trillion, eighty-five billion, seven hundred five million, four hundred ten thousand, eighty".
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