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67782622001 is a prime number
BaseRepresentation
bin111111001000001010…
…001011101100110001
320110221212221222002112
4333020022023230301
52102304322401001
651050000455105
74616500531523
oct771012135461
9213855858075
1067782622001
1126823583176
121117831a495
136512c40173
1433d0333a13
151b6ab0ecbb
hexfc828bb31

67782622001 has 2 divisors, whose sum is σ = 67782622002. Its totient is φ = 67782622000.

The previous prime is 67782621989. The next prime is 67782622081. The reversal of 67782622001 is 10022628776.

67782622001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64793157025 + 2989464976 = 254545^2 + 54676^2 .

It is a cyclic number.

It is not a de Polignac number, because 67782622001 - 210 = 67782620977 is a prime.

It is a super-3 number, since 3×677826220013 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67782622001.

It is not a weakly prime, because it can be changed into another prime (67782622081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33891311000 + 33891311001.

It is an arithmetic number, because the mean of its divisors is an integer number (33891311001).

Almost surely, 267782622001 is an apocalyptic number.

It is an amenable number.

67782622001 is a deficient number, since it is larger than the sum of its proper divisors (1).

67782622001 is an equidigital number, since it uses as much as digits as its factorization.

67782622001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 67782622001 in words is "sixty-seven billion, seven hundred eighty-two million, six hundred twenty-two thousand, one".