Base | Representation |
---|---|
bin | 101011010101110100… |
… | …101111101100100100 |
3 | 11110010020122220220200 |
4 | 223111310233230210 |
5 | 1230301440444240 |
6 | 33213454230500 |
7 | 3235142241225 |
oct | 532564575444 |
9 | 143106586820 |
10 | 46537046820 |
11 | 18810a4a080 |
12 | 90291b5430 |
13 | 45084a49c4 |
14 | 237685724c |
15 | 1325854930 |
hex | ad5d2fb24 |
46537046820 has 144 divisors (see below), whose sum is σ = 154565349120. Its totient is φ = 11239948800.
The previous prime is 46537046819. The next prime is 46537046821. The reversal of 46537046820 is 2864073564.
46537046820 is a `hidden beast` number, since 465 + 3 + 70 + 46 + 82 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (46537046819) and next prime (46537046821).
It is a super-3 number, since 3×465370468203 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (46537046821) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493216 + ... + 579944.
It is an arithmetic number, because the mean of its divisors is an integer number (1073370480).
Almost surely, 246537046820 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 46537046820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77282674560).
46537046820 is an abundant number, since it is smaller than the sum of its proper divisors (108028302300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46537046820 is a wasteful number, since it uses less digits than its factorization.
46537046820 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 87026 (or 87021 counting only the distinct ones).
The product of its (nonzero) digits is 967680, while the sum is 45.
The spelling of 46537046820 in words is "forty-six billion, five hundred thirty-seven million, forty-six thousand, eight hundred twenty".
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