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166132981 = 7210133569
BaseRepresentation
bin10011110011011…
…11110011110101
3102120121102121101
421321233303311
5320012223411
624252450101
74055051500
oct1171576365
9376542541
10166132981
1185861193
1247779931
132855a151
14180c8137
15e8b98c1
hex9e6fcf5

166132981 has 12 divisors (see below), whose sum is σ = 195175980. Its totient is φ = 140985600.

The previous prime is 166132973. The next prime is 166133003. The reversal of 166132981 is 189231661.

It can be written as a sum of positive squares in 2 ways, for example, as 87721956 + 78411025 = 9366^2 + 8855^2 .

It is not a de Polignac number, because 166132981 - 23 = 166132973 is a prime.

It is a super-2 number, since 2×1661329812 = 55200334751892722, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 166132981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166132931) 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 in 11 ways as a sum of consecutive naturals, for example, 11836 + ... + 21733.

It is an arithmetic number, because the mean of its divisors is an integer number (16264665).

Almost surely, 2166132981 is an apocalyptic number.

It is an amenable number.

166132981 is a deficient number, since it is larger than the sum of its proper divisors (29042999).

166132981 is a wasteful number, since it uses less digits than its factorization.

166132981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33684 (or 33677 counting only the distinct ones).

The product of its digits is 15552, while the sum is 37.

The square root of 166132981 is about 12889.2583572524. The cubic root of 166132981 is about 549.7331829789.

The spelling of 166132981 in words is "one hundred sixty-six million, one hundred thirty-two thousand, nine hundred eighty-one".

Divisors: 1 7 49 101 707 4949 33569 234983 1644881 3390469 23733283 166132981