Base | Representation |
---|---|
bin | 110101101001001110100… |
… | …100000000000000000001 |
3 | 111001102020112222002110101 |
4 | 311221032210000000001 |
5 | 440344221400000001 |
6 | 11501301521402401 |
7 | 530222266663615 |
oct | 65511644000001 |
9 | 14042215862411 |
10 | 3686400000001 |
11 | 11a1436772054 |
12 | 4b6547a99401 |
13 | 20981a4cc564 |
14 | ca5cbcc9345 |
15 | 65d5987ba01 |
hex | 35a4e900001 |
3686400000001 has 16 divisors (see below), whose sum is σ = 3774260707920. Its totient is φ = 3599556019200.
The previous prime is 3686399999963. The next prime is 3686400000053. The reversal of 3686400000001 is 1000000046863.
It is a Cunningham number, because it is equal to 19200002+1.
It can be written as a sum of positive squares in 8 ways, for example, as 2092582123776 + 1593817876225 = 1446576^2 + 1262465^2 .
It is a cyclic number.
It is not a de Polignac number, because 3686400000001 - 213 = 3686399991809 is a prime.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (3686400000091) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112001535 + ... + 112034443.
It is an arithmetic number, because the mean of its divisors is an integer number (235891294245).
Almost surely, 23686400000001 is an apocalyptic number.
It is an amenable number.
3686400000001 is a deficient number, since it is larger than the sum of its proper divisors (87860707919).
3686400000001 is a wasteful number, since it uses less digits than its factorization.
3686400000001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 48276.
The product of its (nonzero) digits is 3456, while the sum is 28.
Adding to 3686400000001 its reverse (1000000046863), we get a palindrome (4686400046864).
The spelling of 3686400000001 in words is "three trillion, six hundred eighty-six billion, four hundred million, one", and thus it is an aban number.
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