Search a number
-
+
67141706256341 is a prime number
BaseRepresentation
bin11110100010000101001011…
…00011010000111111010101
322210201200110221200011202222
433101002211203100333111
532300022203300200331
6354444250220512125
720066554033465343
oct1721024543207725
9283650427604688
1067141706256341
111a43670188a1a2
1276446196ab645
132b605883c5c32
141281966a30993
157b679abb0b7b
hex3d10a58d0fd5

67141706256341 has 2 divisors, whose sum is σ = 67141706256342. Its totient is φ = 67141706256340.

The previous prime is 67141706256307. The next prime is 67141706256437. The reversal of 67141706256341 is 14365260714176.

67141706256341 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., 61627916619025 + 5513789637316 = 7850345^2 + 2348146^2 .

It is a cyclic number.

It is not a de Polignac number, because 67141706256341 - 26 = 67141706256277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67141706256241) 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 as a sum of consecutive naturals, namely, 33570853128170 + 33570853128171.

It is an arithmetic number, because the mean of its divisors is an integer number (33570853128171).

Almost surely, 267141706256341 is an apocalyptic number.

It is an amenable number.

67141706256341 is a deficient number, since it is larger than the sum of its proper divisors (1).

67141706256341 is an equidigital number, since it uses as much as digits as its factorization.

67141706256341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 67141706256341 in words is "sixty-seven trillion, one hundred forty-one billion, seven hundred six million, two hundred fifty-six thousand, three hundred forty-one".