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166431234348961 is a prime number
BaseRepresentation
bin100101110101111001001010…
…100110100101011110100001
3210211021200002212202021222021
4211311321022212211132201
5133303302131443131321
61345545241544541441
750025155065241101
oct4565711246453641
9724250085667867
10166431234348961
11490370a9a3376a
12167bb5a3781881
1371b35236b743a
142d15459857201
1514393d1da0941
hex975e4a9a57a1

166431234348961 has 2 divisors, whose sum is σ = 166431234348962. Its totient is φ = 166431234348960.

The previous prime is 166431234348959. The next prime is 166431234348979. The reversal of 166431234348961 is 169843432134661.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 162676785579361 + 3754448769600 = 12754481^2 + 1937640^2 .

It is a cyclic number.

It is not a de Polignac number, because 166431234348961 - 21 = 166431234348959 is a prime.

Together with 166431234348959, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 166431234348961.

It is not a weakly prime, because it can be changed into another prime (166431234348661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83215617174480 + 83215617174481.

It is an arithmetic number, because the mean of its divisors is an integer number (83215617174481).

Almost surely, 2166431234348961 is an apocalyptic number.

It is an amenable number.

166431234348961 is a deficient number, since it is larger than the sum of its proper divisors (1).

166431234348961 is an equidigital number, since it uses as much as digits as its factorization.

166431234348961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 53747712, while the sum is 61.

The spelling of 166431234348961 in words is "one hundred sixty-six trillion, four hundred thirty-one billion, two hundred thirty-four million, three hundred forty-eight thousand, nine hundred sixty-one".