Base | Representation |
---|---|
bin | 101011111000011001… |
… | …100110001000000000 |
3 | 11111121200012022120122 |
4 | 223320121212020000 |
5 | 1232443441213123 |
6 | 33351215355412 |
7 | 3255415005422 |
oct | 537031461000 |
9 | 144550168518 |
10 | 47117132288 |
11 | 18a89435956 |
12 | 916b522b68 |
13 | 459b71a045 |
14 | 23cd8d8812 |
15 | 135b73bbc8 |
hex | af8666200 |
47117132288 has 90 divisors (see below), whose sum is σ = 96485072607. Its totient is φ = 22986362880.
The previous prime is 47117132261. The next prime is 47117132299. The reversal of 47117132288 is 88223171174.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 5062607104 + 42054525184 = 71152^2 + 205072^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=153488.
It is a super-2 number, since 2×471171322882 (a number of 22 digits) contains 22 as substring.
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 260315558 + ... + 260315738.
Almost surely, 247117132288 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 47117132288
47117132288 is an abundant number, since it is smaller than the sum of its proper divisors (49367940319).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47117132288 is an frugal number, since it uses more digits than its factorization.
47117132288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 486 (or 236 counting only the distinct ones).
The product of its digits is 150528, while the sum is 44.
The spelling of 47117132288 in words is "forty-seven billion, one hundred seventeen million, one hundred thirty-two thousand, two hundred eighty-eight".
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