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216662000413 is a prime number
BaseRepresentation
bin1100100111001000001…
…1111100001100011101
3202201020112210000010211
43021302003330030131
512022210433003123
6243311054332421
721440041421455
oct3116203741435
9681215700124
10216662000413
1183982061781
1235ba77ba111
131757b29b611
14a6b4d38d65
15598113340d
hex32720fc31d

216662000413 has 2 divisors, whose sum is σ = 216662000414. Its totient is φ = 216662000412.

The previous prime is 216662000339. The next prime is 216662000447. The reversal of 216662000413 is 314000266612.

216662000413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174926370564 + 41735629849 = 418242^2 + 204293^2 .

It is a cyclic number.

It is not a de Polignac number, because 216662000413 - 217 = 216661869341 is a prime.

It is a super-3 number, since 3×2166620004133 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (276662000413) 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 as a sum of consecutive naturals, namely, 108331000206 + 108331000207.

It is an arithmetic number, because the mean of its divisors is an integer number (108331000207).

Almost surely, 2216662000413 is an apocalyptic number.

It is an amenable number.

216662000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

216662000413 is an equidigital number, since it uses as much as digits as its factorization.

216662000413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 216662000413 in words is "two hundred sixteen billion, six hundred sixty-two million, four hundred thirteen", and thus it is an aban number.