Search a number
-
+
166100664384961 is a prime number
BaseRepresentation
bin100101110001000101010011…
…000110001111110111000001
3210210010001211220001012020021
4211301011103012033313001
5133232343130040304321
61345133331455213441
746662243210016105
oct4561052306176701
9723101756035207
10166100664384961
1148a199948a0009
1216767508517281
13718b2c13b3347
142d0345a701905
1514309d5a2e941
hex97115318fdc1

166100664384961 has 2 divisors, whose sum is σ = 166100664384962. Its totient is φ = 166100664384960.

The previous prime is 166100664384923. The next prime is 166100664384979. The reversal of 166100664384961 is 169483466001661.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143492008804225 + 22608655580736 = 11978815^2 + 4754856^2 .

It is a cyclic number.

It is not a de Polignac number, because 166100664384961 - 215 = 166100664352193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 166100664384961.

It is not a weakly prime, because it can be changed into another prime (166100664384901) 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, 83050332192480 + 83050332192481.

It is an arithmetic number, because the mean of its divisors is an integer number (83050332192481).

Almost surely, 2166100664384961 is an apocalyptic number.

It is an amenable number.

166100664384961 is a deficient number, since it is larger than the sum of its proper divisors (1).

166100664384961 is an equidigital number, since it uses as much as digits as its factorization.

166100664384961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 166100664384961 in words is "one hundred sixty-six trillion, one hundred billion, six hundred sixty-four million, three hundred eighty-four thousand, nine hundred sixty-one".