Base | Representation |
---|---|
bin | 100111010000111110… |
… | …111001111100000000 |
3 | 11000211021002102211000 |
4 | 213100332321330000 |
5 | 1142321134404312 |
6 | 31211325252000 |
7 | 3021533240643 |
oct | 472076717400 |
9 | 130737072730 |
10 | 42160856832 |
11 | 16975782836 |
12 | 8207704000 |
13 | 3c8b95a383 |
14 | 207d579a5a |
15 | 116b570adc |
hex | 9d0fb9f00 |
42160856832 has 144 divisors (see below), whose sum is σ = 126386488480. Its totient is φ = 13860937728.
The previous prime is 42160856789. The next prime is 42160856833. The reversal of 42160856832 is 23865806124.
42160856832 is a `hidden beast` number, since 4 + 2 + 1 + 608 + 5 + 6 + 8 + 32 = 666.
42160856832 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 (144).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42160856833) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 462798 + ... + 546354.
Almost surely, 242160856832 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 42160856832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63193244240).
42160856832 is an abundant number, since it is smaller than the sum of its proper divisors (84225631648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42160856832 is an equidigital number, since it uses as much as digits as its factorization.
42160856832 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 83655 (or 83635 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 42160856832 in words is "forty-two billion, one hundred sixty million, eight hundred fifty-six thousand, eight hundred thirty-two".
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