Base | Representation |
---|---|
bin | 100101110110101111… |
… | …0110000100001011110 |
3 | 21202211111101112220200 |
4 | 1023231132300201132 |
5 | 2312442140041330 |
6 | 101202405324330 |
7 | 5605350555432 |
oct | 1135536604136 |
9 | 252744345820 |
10 | 81293674590 |
11 | 31527183a37 |
12 | 139091066a6 |
13 | 788716693b |
14 | 3d128d09c2 |
15 | 21abd5ea60 |
hex | 12ed7b085e |
81293674590 has 96 divisors (see below), whose sum is σ = 214976526336. Its totient is φ = 21308244480.
The previous prime is 81293674559. The next prime is 81293674619. The reversal of 81293674590 is 9547639218.
81293674590 is a `hidden beast` number, since 8 + 12 + 9 + 36 + 7 + 4 + 590 = 666.
It is a Curzon number.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9619747 + ... + 9628193.
It is an arithmetic number, because the mean of its divisors is an integer number (2239338816).
It is a 2-persistent number, because it is pandigital, and so is 2⋅81293674590 = 162587349180, but 3⋅81293674590 = 243881023770 is not.
Almost surely, 281293674590 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 81293674590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107488263168).
81293674590 is an abundant number, since it is smaller than the sum of its proper divisors (133682851746).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
81293674590 is a wasteful number, since it uses less digits than its factorization.
With its successor (81293674591) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (10274).
81293674590 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10274 (or 10271 counting only the distinct ones).
The product of its (nonzero) digits is 3265920, while the sum is 54.
The spelling of 81293674590 in words is "eighty-one billion, two hundred ninety-three million, six hundred seventy-four thousand, five hundred ninety".
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