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166524216097 is a prime number
BaseRepresentation
bin1001101100010110011…
…1011110001100100001
3120220211100200122222011
42123011213132030201
510212020144403342
6204300011512521
715013424324251
oct2330547361441
9526740618864
10166524216097
1164693640298
1228334758741
131291ab18c15
1480ba1bd961
1544e9623717
hex26c59de321

166524216097 has 2 divisors, whose sum is σ = 166524216098. Its totient is φ = 166524216096.

The previous prime is 166524216059. The next prime is 166524216101. The reversal of 166524216097 is 790612425661.

166524216097 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., 125337948961 + 41186267136 = 354031^2 + 202944^2 .

It is an emirp because it is prime and its reverse (790612425661) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-166524216097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 166524216097.

It is not a weakly prime, because it can be changed into another prime (166524216007) 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, 83262108048 + 83262108049.

It is an arithmetic number, because the mean of its divisors is an integer number (83262108049).

Almost surely, 2166524216097 is an apocalyptic number.

It is an amenable number.

166524216097 is a deficient number, since it is larger than the sum of its proper divisors (1).

166524216097 is an equidigital number, since it uses as much as digits as its factorization.

166524216097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 166524216097 in words is "one hundred sixty-six billion, five hundred twenty-four million, two hundred sixteen thousand, ninety-seven".