Search a number
-
+
166679157409 is a prime number
BaseRepresentation
bin1001101100111011011…
…0100001101010100001
3120221020011020111111021
42123032312201222201
510212324331014114
6204323224445441
715020315314222
oct2331666415241
9527204214437
10166679157409
1164763047a66
1228378619881
1312943c57c7b
1480d29d3249
15450802c024
hex26ceda1aa1

166679157409 has 2 divisors, whose sum is σ = 166679157410. Its totient is φ = 166679157408.

The previous prime is 166679157391. The next prime is 166679157451. The reversal of 166679157409 is 904751976661.

166679157409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165138202384 + 1540955025 = 406372^2 + 39255^2 .

It is a cyclic number.

It is not a de Polignac number, because 166679157409 - 215 = 166679124641 is a prime.

It is a super-3 number, since 3×1666791574093 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (166679157479) 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, 83339578704 + 83339578705.

It is an arithmetic number, because the mean of its divisors is an integer number (83339578705).

Almost surely, 2166679157409 is an apocalyptic number.

It is an amenable number.

166679157409 is a deficient number, since it is larger than the sum of its proper divisors (1).

166679157409 is an equidigital number, since it uses as much as digits as its factorization.

166679157409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 166679157409 in words is "one hundred sixty-six billion, six hundred seventy-nine million, one hundred fifty-seven thousand, four hundred nine".