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66723301 is a prime number
BaseRepresentation
bin1111111010000…
…1110111100101
311122112220011101
43332201313211
5114040121201
610342040101
71440065401
oct376416745
9148486141
1066723301
1134733227
121a419031
1310a92258
148c0c101
155cced01
hex3fa1de5

66723301 has 2 divisors, whose sum is σ = 66723302. Its totient is φ = 66723300.

The previous prime is 66723289. The next prime is 66723313. The reversal of 66723301 is 10332766.

It is a balanced prime because it is at equal distance from previous prime (66723289) and next prime (66723313).

It can be written as a sum of positive squares in only one way, i.e., 64160100 + 2563201 = 8010^2 + 1601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-66723301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66723301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (66723341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33361650 + 33361651.

It is an arithmetic number, because the mean of its divisors is an integer number (33361651).

Almost surely, 266723301 is an apocalyptic number.

It is an amenable number.

66723301 is a deficient number, since it is larger than the sum of its proper divisors (1).

66723301 is an equidigital number, since it uses as much as digits as its factorization.

66723301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 66723301 is about 8168.4332034975. The cubic root of 66723301 is about 405.5949210247.

The spelling of 66723301 in words is "sixty-six million, seven hundred twenty-three thousand, three hundred one".