Base | Representation |
---|---|
bin | 100001111000010100… |
… | …010000011001111001 |
3 | 10110220021012211210100 |
4 | 201320110100121321 |
5 | 1044000322024421 |
6 | 24413441310013 |
7 | 2425326366354 |
oct | 417024203171 |
9 | 113807184710 |
10 | 36378314361 |
11 | 14478679014 |
12 | 7073035309 |
13 | 357994b9cc |
14 | 1a915b529b |
15 | e2da8ec26 |
hex | 878510679 |
36378314361 has 9 divisors (see below), whose sum is σ = 52547280591. Its totient is φ = 24251828112.
The previous prime is 36378314359. The next prime is 36378314377. The reversal of 36378314361 is 16341387363.
It is a happy number.
The square root of 36378314361 is 190731.
It is a perfect power (a square), and thus also a powerful number.
36378314361 is a `hidden beast` number, since 3 + 637 + 8 + 3 + 1 + 4 + 3 + 6 + 1 = 666.
It can be written as a sum of positive squares in only one way, i.e., 35071925625 + 1306388736 = 187275^2 + 36144^2 .
It is a tau number, because it is divible by the number of its divisors (9).
It is not a de Polignac number, because 36378314361 - 21 = 36378314359 is a prime.
It is not an unprimeable number, because it can be changed into a prime (36378314351) by changing a digit.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 540405 + ... + 603981.
Almost surely, 236378314361 is an apocalyptic number.
36378314361 is the 190731-st square number.
36378314361 is the 95366-th centered octagonal number.
It is an amenable number.
36378314361 is a deficient number, since it is larger than the sum of its proper divisors (16168966230).
36378314361 is an frugal number, since it uses more digits than its factorization.
36378314361 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 127160 (or 63580 counting only the distinct ones).
The product of its digits is 653184, while the sum is 45.
The spelling of 36378314361 in words is "thirty-six billion, three hundred seventy-eight million, three hundred fourteen thousand, three hundred sixty-one".
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