Base | Representation |
---|---|
bin | 100111100100111101… |
… | …011100010100100000 |
3 | 11001200121202101002100 |
4 | 213210331130110200 |
5 | 1144012440031241 |
6 | 31304501050400 |
7 | 3033043122216 |
oct | 474475342440 |
9 | 131617671070 |
10 | 42496017696 |
11 | 17027992090 |
12 | 829b9b6a00 |
13 | 4013219202 |
14 | 20b1ca2cb6 |
15 | 118abc79b6 |
hex | 9e4f5c520 |
42496017696 has 144 divisors (see below), whose sum is σ = 132014963808. Its totient is φ = 12859929600.
The previous prime is 42496017637. The next prime is 42496017701. The reversal of 42496017696 is 69671069424.
It is a happy number.
42496017696 is a `hidden beast` number, since 4 + 24 + 9 + 601 + 7 + 6 + 9 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2402035 + ... + 2419661.
It is an arithmetic number, because the mean of its divisors is an integer number (916770582).
Almost surely, 242496017696 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 42496017696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66007481904).
42496017696 is an abundant number, since it is smaller than the sum of its proper divisors (89518946112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42496017696 is a wasteful number, since it uses less digits than its factorization.
42496017696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18415 (or 18404 counting only the distinct ones).
The product of its (nonzero) digits is 3919104, while the sum is 54.
The spelling of 42496017696 in words is "forty-two billion, four hundred ninety-six million, seventeen thousand, six hundred ninety-six".
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