Base | Representation |
---|---|
bin | 101011111111101010… |
… | …110001001010000000 |
3 | 11111221011122121202100 |
4 | 223333222301022000 |
5 | 1233221200340212 |
6 | 33411253150400 |
7 | 3261425336034 |
oct | 537752611200 |
9 | 144834577670 |
10 | 47239074432 |
11 | 19041253890 |
12 | 91a432b400 |
13 | 45baa73c64 |
14 | 2401b9c1c4 |
15 | 13672c7bdc |
hex | affab1280 |
47239074432 has 384 divisors, whose sum is σ = 151227648000. Its totient is φ = 14035230720.
The previous prime is 47239074419. The next prime is 47239074481. The reversal of 47239074432 is 23447093274.
47239074432 is a `hidden beast` number, since 47 + 23 + 90 + 74 + 432 = 666.
47239074432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×472390744322 (a number of 22 digits) contains 22 as substring.
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, 239792158 + ... + 239792354.
It is an arithmetic number, because the mean of its divisors is an integer number (393822000).
Almost surely, 247239074432 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 47239074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75613824000).
47239074432 is an abundant number, since it is smaller than the sum of its proper divisors (103988573568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47239074432 is a wasteful number, since it uses less digits than its factorization.
47239074432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 504 (or 489 counting only the distinct ones).
The product of its (nonzero) digits is 1016064, while the sum is 45.
The spelling of 47239074432 in words is "forty-seven billion, two hundred thirty-nine million, seventy-four thousand, four hundred thirty-two".
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