Base | Representation |
---|---|
bin | 111111000000011110… |
… | …010001011101100001 |
3 | 20110121220022120020101 |
4 | 333000132101131201 |
5 | 2102023314431003 |
6 | 51025112542401 |
7 | 4613343466414 |
oct | 770036213541 |
9 | 213556276211 |
10 | 67653670753 |
11 | 26767808199 |
12 | 111410b1a01 |
13 | 64c2300b56 |
14 | 33bb167b7b |
15 | 1b5e63c11d |
hex | fc0791761 |
67653670753 has 2 divisors, whose sum is σ = 67653670754. Its totient is φ = 67653670752.
The previous prime is 67653670739. The next prime is 67653670757. The reversal of 67653670753 is 35707635676.
67653670753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 50657855329 + 16995815424 = 225073^2 + 130368^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-67653670753 is a prime.
It is a super-3 number, since 3×676536707533 (a number of 33 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 67653670694 and 67653670703.
It is not a weakly prime, because it can be changed into another prime (67653670757) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33826835376 + 33826835377.
It is an arithmetic number, because the mean of its divisors is an integer number (33826835377).
Almost surely, 267653670753 is an apocalyptic number.
It is an amenable number.
67653670753 is a deficient number, since it is larger than the sum of its proper divisors (1).
67653670753 is an equidigital number, since it uses as much as digits as its factorization.
67653670753 is an evil number, because the sum of its binary digits is even.
The product of its (nonzero) digits is 16669800, while the sum is 55.
The spelling of 67653670753 in words is "sixty-seven billion, six hundred fifty-three million, six hundred seventy thousand, seven hundred fifty-three".
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