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67362020461 is a prime number
BaseRepresentation
bin111110101111000101…
…101101110001101101
320102212120112012020201
4332233011231301231
52100424134123321
650540133513501
74603202504131
oct765705556155
9212776465221
1067362020461
1126628116a9a
121107b4a2891
136476a67708
1433905293c1
151b43c2c291
hexfaf16dc6d

67362020461 has 2 divisors, whose sum is σ = 67362020462. Its totient is φ = 67362020460.

The previous prime is 67362020459. The next prime is 67362020489. The reversal of 67362020461 is 16402026376.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63494424361 + 3867596100 = 251981^2 + 62190^2 .

It is a cyclic number.

It is not a de Polignac number, because 67362020461 - 21 = 67362020459 is a prime.

Together with 67362020459, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 67362020461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67362020161) 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, 33681010230 + 33681010231.

It is an arithmetic number, because the mean of its divisors is an integer number (33681010231).

Almost surely, 267362020461 is an apocalyptic number.

It is an amenable number.

67362020461 is a deficient number, since it is larger than the sum of its proper divisors (1).

67362020461 is an equidigital number, since it uses as much as digits as its factorization.

67362020461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 67362020461 in words is "sixty-seven billion, three hundred sixty-two million, twenty thousand, four hundred sixty-one".