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166541157 = 3313994409
BaseRepresentation
bin10011110110100…
…11011101100101
3102121101011112000
421323103131211
5320113304112
624305315513
74061401506
oct1173233545
9377334460
10166541157
118600a922
1247935b99
1328670b83
1418192bad
15e94a7dc
hex9ed3765

166541157 has 16 divisors (see below), whose sum is σ = 246960000. Its totient is φ = 110922912.

The previous prime is 166541131. The next prime is 166541159. The reversal of 166541157 is 751145661.

It is a happy number.

166541157 is a `hidden beast` number, since 1 + 66 + 541 + 1 + 57 = 666.

It is not a de Polignac number, because 166541157 - 26 = 166541093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166541159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35569 + ... + 39977.

It is an arithmetic number, because the mean of its divisors is an integer number (15435000).

Almost surely, 2166541157 is an apocalyptic number.

It is an amenable number.

166541157 is a deficient number, since it is larger than the sum of its proper divisors (80418843).

166541157 is a wasteful number, since it uses less digits than its factorization.

166541157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5817 (or 5811 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 166541157 is about 12905.0826033776. The cubic root of 166541157 is about 550.1830321957.

The spelling of 166541157 in words is "one hundred sixty-six million, five hundred forty-one thousand, one hundred fifty-seven".

Divisors: 1 3 9 27 1399 4197 4409 12591 13227 37773 39681 119043 6168191 18504573 55513719 166541157