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166585935931 is a prime number
BaseRepresentation
bin1001101100100101001…
…0111010100000111011
3120220222122211100122221
42123021102322200323
510212131444422211
6204310054424511
715015104043412
oct2331122724073
9526878740587
10166585935931
1164715466318
1228351362137
131292a84892c
1480c4488479
1544eec65c71
hex26c94ba83b

166585935931 has 2 divisors, whose sum is σ = 166585935932. Its totient is φ = 166585935930.

The previous prime is 166585935913. The next prime is 166585935953. The reversal of 166585935931 is 139539585661.

166585935931 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (166585935913) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 166585935931 - 211 = 166585933883 is a prime.

It is a super-2 number, since 2×1665859359312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166585935931.

It is not a weakly prime, because it can be changed into another prime (166585935961) 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, 83292967965 + 83292967966.

It is an arithmetic number, because the mean of its divisors is an integer number (83292967966).

Almost surely, 2166585935931 is an apocalyptic number.

166585935931 is a deficient number, since it is larger than the sum of its proper divisors (1).

166585935931 is an equidigital number, since it uses as much as digits as its factorization.

166585935931 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26244000, while the sum is 61.

The spelling of 166585935931 in words is "one hundred sixty-six billion, five hundred eighty-five million, nine hundred thirty-five thousand, nine hundred thirty-one".