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67378013 is a prime number
BaseRepresentation
bin1000000010000…
…01101101011101
311200210011020222
410001001231131
5114222044023
610404051125
71445463233
oct401015535
9150704228
1067378013
113504010a
121a693aa5
1310c61261
148d3c953
155dadcc8
hex4041b5d

67378013 has 2 divisors, whose sum is σ = 67378014. Its totient is φ = 67378012.

The previous prime is 67377979. The next prime is 67378019. The reversal of 67378013 is 31087376.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67289209 + 88804 = 8203^2 + 298^2 .

It is a cyclic number.

It is not a de Polignac number, because 67378013 - 210 = 67376989 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67378019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33689006 + 33689007.

It is an arithmetic number, because the mean of its divisors is an integer number (33689007).

Almost surely, 267378013 is an apocalyptic number.

It is an amenable number.

67378013 is a deficient number, since it is larger than the sum of its proper divisors (1).

67378013 is an equidigital number, since it uses as much as digits as its factorization.

67378013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 67378013 is about 8208.4111129987. The cubic root of 67378013 is about 406.9172177982.

The spelling of 67378013 in words is "sixty-seven million, three hundred seventy-eight thousand, thirteen".