Base | Representation |
---|---|
bin | 100111110011011110… |
… | …111111100010011100 |
3 | 11002022121021101202102 |
4 | 213303132333202130 |
5 | 1200012330144344 |
6 | 31345003544232 |
7 | 3042062255030 |
oct | 476336774234 |
9 | 132277241672 |
10 | 42739693724 |
11 | 17142496532 |
12 | 834952b078 |
13 | 4051856300 |
14 | 20d63b41c0 |
15 | 11a22ace4e |
hex | 9f37bf89c |
42739693724 has 72 divisors (see below), whose sum is σ = 93268441728. Its totient is φ = 16778698560.
The previous prime is 42739693723. The next prime is 42739693739.
42739693724 is nontrivially palindromic in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 42739693724.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42739693723) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585419 + ... + 654365.
It is an arithmetic number, because the mean of its divisors is an integer number (1295395024).
Almost surely, 242739693724 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 42739693724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46634220864).
42739693724 is an abundant number, since it is smaller than the sum of its proper divisors (50528748004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42739693724 is a wasteful number, since it uses less digits than its factorization.
42739693724 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 69115 (or 69100 counting only the distinct ones).
The product of its digits is 13716864, while the sum is 56.
The spelling of 42739693724 in words is "forty-two billion, seven hundred thirty-nine million, six hundred ninety-three thousand, seven hundred twenty-four".
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