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67143416121 = 32171733253229
BaseRepresentation
bin111110100010000011…
…110011100100111001
320102022100011221110200
4332202003303210321
52100002203303441
650502324232413
74564606422525
oct764203634471
9212270157420
1067143416121
1126525787351
121101a23b709
136440698332
14336d4a2d85
151b2e94a7b6
hexfa20f3939

67143416121 has 24 divisors (see below), whose sum is σ = 102749591880. Its totient is φ = 42104726016.

The previous prime is 67143416111. The next prime is 67143416159. The reversal of 67143416121 is 12161434176.

67143416121 is a `hidden beast` number, since 6 + 7 + 1 + 4 + 34 + 1 + 612 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36933152400 + 30210263721 = 192180^2 + 173811^2 .

It is not a de Polignac number, because 67143416121 - 29 = 67143415609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (67143416111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138535 + ... + 391763.

It is an arithmetic number, because the mean of its divisors is an integer number (4281232995).

Almost surely, 267143416121 is an apocalyptic number.

It is an amenable number.

67143416121 is a deficient number, since it is larger than the sum of its proper divisors (35606175759).

67143416121 is a wasteful number, since it uses less digits than its factorization.

67143416121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254985 (or 254982 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 67143416121 in words is "sixty-seven billion, one hundred forty-three million, four hundred sixteen thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 1733 5199 15597 29461 88383 253229 265149 759687 2279061 4304893 12914679 38744037 438845857 1316537571 3949612713 7460379569 22381138707 67143416121