Search a number
-
+
166509029 = 2331435431
BaseRepresentation
bin10011110110010…
…11100111100101
3102121022112110002
421323023213211
5320111242104
624304511045
74061206031
oct1173134745
9377275402
10166509029
1185a98775
124791b485
132865c36b
14181851c1
15e94101e
hex9ecb9e5

166509029 has 16 divisors (see below), whose sum is σ = 183558144. Its totient is φ = 150519600.

The previous prime is 166509017. The next prime is 166509037. The reversal of 166509029 is 920905661.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-166509029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 166508983 and 166509001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166509829) 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, 27944 + ... + 33374.

It is an arithmetic number, because the mean of its divisors is an integer number (11472384).

Almost surely, 2166509029 is an apocalyptic number.

It is an amenable number.

166509029 is a deficient number, since it is larger than the sum of its proper divisors (17049115).

166509029 is a wasteful number, since it uses less digits than its factorization.

166509029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528.

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 166509029 is about 12903.8377624643. The cubic root of 166509029 is about 550.1476507169.

The spelling of 166509029 in words is "one hundred sixty-six million, five hundred nine thousand, twenty-nine".

Divisors: 1 23 31 43 713 989 1333 5431 30659 124913 168361 233533 3872303 5371259 7239523 166509029