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166657435013 is a prime number
BaseRepresentation
bin1001101100110110001…
…1101010010110000101
3120221011122100212222002
42123031203222112011
510212303300410023
6204321131115045
715016632552506
oct2331543522605
9527148325862
10166657435013
1164751860673
12283712a2a85
131293c5c0894
1480cdb7abad
15450618ab28
hex26cd8ea585

166657435013 has 2 divisors, whose sum is σ = 166657435014. Its totient is φ = 166657435012.

The previous prime is 166657435003. The next prime is 166657435019. The reversal of 166657435013 is 310534756661.

166657435013 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., 165589583329 + 1067851684 = 406927^2 + 32678^2 .

It is a cyclic number.

It is not a de Polignac number, because 166657435013 - 220 = 166656386437 is a prime.

It is a super-2 number, since 2×1666574350132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (166657435019) 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, 83328717506 + 83328717507.

It is an arithmetic number, because the mean of its divisors is an integer number (83328717507).

Almost surely, 2166657435013 is an apocalyptic number.

It is an amenable number.

166657435013 is a deficient number, since it is larger than the sum of its proper divisors (1).

166657435013 is an equidigital number, since it uses as much as digits as its factorization.

166657435013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1360800, while the sum is 47.

The spelling of 166657435013 in words is "one hundred sixty-six billion, six hundred fifty-seven million, four hundred thirty-five thousand, thirteen".