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168766081 = 11211812
BaseRepresentation
bin10100000111100…
…10101010000001
3102202120012112121
422003302222001
5321201003311
624425124241
74116326251
oct1203625201
9382505477
10168766081
118729a500
1248629681
1328c6c7b3
14185b1961
15ec39b71
hexa0f2a81

168766081 has 9 divisors (see below), whose sum is σ = 185660419. Its totient is φ = 153293800.

The previous prime is 168766069. The next prime is 168766093. The reversal of 168766081 is 180667861.

The square root of 168766081 is 12991.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (168766069) and next prime (168766093).

It can be written as a sum of positive squares in only one way, i.e., 154778481 + 13987600 = 12441^2 + 3740^2 .

It is not a de Polignac number, because 168766081 - 211 = 168764033 is a prime.

It is a super-2 number, since 2×1687660812 = 56963980192197122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (168766001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142311 + ... + 143491.

Almost surely, 2168766081 is an apocalyptic number.

168766081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

168766081 is the 12991-st square number.

168766081 is the 6496-th centered octagonal number.

It is an amenable number.

168766081 is a deficient number, since it is larger than the sum of its proper divisors (16894338).

168766081 is an frugal number, since it uses more digits than its factorization.

168766081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The cubic root of 168766081 is about 552.6222776935.

The spelling of 168766081 in words is "one hundred sixty-eight million, seven hundred sixty-six thousand, eighty-one".

Divisors: 1 11 121 1181 12991 142901 1394761 15342371 168766081