Base | Representation |
---|---|
bin | 100111100011001111… |
… | …111101100000010000 |
3 | 11001121121202021012100 |
4 | 213203033331200100 |
5 | 1143433113132101 |
6 | 31301554000400 |
7 | 3032244150042 |
oct | 474317754020 |
9 | 131547667170 |
10 | 42467317776 |
11 | 1701276a444 |
12 | 8292276100 |
13 | 400a2aac00 |
14 | 20ac151a92 |
15 | 1188408e86 |
hex | 9e33fd810 |
42467317776 has 135 divisors (see below), whose sum is σ = 128792524887. Its totient is φ = 13056975360.
The previous prime is 42467317699. The next prime is 42467317807. The reversal of 42467317776 is 67771376424.
The square root of 42467317776 is 206076.
It is a perfect power (a square), and thus also a powerful number.
42467317776 is a `hidden beast` number, since 4 + 2 + 467 + 3 + 177 + 7 + 6 = 666.
42467317776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 596336400 + 41870981376 = 24420^2 + 204624^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32147196 + ... + 32148516.
Almost surely, 242467317776 is an apocalyptic number.
42467317776 is the 206076-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42467317776
42467317776 is an abundant number, since it is smaller than the sum of its proper divisors (86325207111).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42467317776 is a wasteful number, since it uses less digits than its factorization.
42467317776 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2682 (or 1339 counting only the distinct ones).
The product of its digits is 8297856, while the sum is 54.
The spelling of 42467317776 in words is "forty-two billion, four hundred sixty-seven million, three hundred seventeen thousand, seven hundred seventy-six".
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