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414527106197 is a prime number
BaseRepresentation
bin1100000100000111011…
…11011010110010010101
31110121222002212211100002
412002003233122302111
523242422414344242
6514233042301045
741643240160211
oct6020357326225
91417862784302
10414527106197
1114a888821296
1268408357785
1330122203079
14160c5689941
15abb1e4b432
hex6083bdac95

414527106197 has 2 divisors, whose sum is σ = 414527106198. Its totient is φ = 414527106196.

The previous prime is 414527106187. The next prime is 414527106199. The reversal of 414527106197 is 791601725414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 375540998596 + 38986107601 = 612814^2 + 197449^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414527106197 is a prime.

Together with 414527106199, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414527106199) 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, 207263553098 + 207263553099.

It is an arithmetic number, because the mean of its divisors is an integer number (207263553099).

Almost surely, 2414527106197 is an apocalyptic number.

It is an amenable number.

414527106197 is a deficient number, since it is larger than the sum of its proper divisors (1).

414527106197 is an equidigital number, since it uses as much as digits as its factorization.

414527106197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 414527106197 in words is "four hundred fourteen billion, five hundred twenty-seven million, one hundred six thousand, one hundred ninety-seven".