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166133961 = 3272376721
BaseRepresentation
bin10011110011100…
…00000011001001
3102120121110221200
421321300003021
5320012241321
624252454413
74055054400
oct1171600311
9376543850
10166133961
11858619a4
124777a409
132855a726
14180c8637
15e8b9d26
hex9e700c9

166133961 has 18 divisors (see below), whose sum is σ = 279151002. Its totient is φ = 94933440.

The previous prime is 166133941. The next prime is 166133969. The reversal of 166133961 is 169331661.

166133961 is a `hidden beast` number, since 1 + 6 + 613 + 39 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115154361 + 50979600 = 10731^2 + 7140^2 .

It is not a de Polignac number, because 166133961 - 27 = 166133833 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (166133969) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 187920 + ... + 188801.

It is an arithmetic number, because the mean of its divisors is an integer number (15508389).

Almost surely, 2166133961 is an apocalyptic number.

It is an amenable number.

166133961 is a deficient number, since it is larger than the sum of its proper divisors (113017041).

166133961 is a wasteful number, since it uses less digits than its factorization.

166133961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376741 (or 376731 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 166133961 is about 12889.2963733479. The cubic root of 166133961 is about 549.7342639151.

The spelling of 166133961 in words is "one hundred sixty-six million, one hundred thirty-three thousand, nine hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 376721 1130163 2637047 3390489 7911141 18459329 23733423 55377987 166133961