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166066506 = 232171733137
BaseRepresentation
bin10011110010111…
…11100101001010
3102120111001102100
421321133211022
5320003112011
624251214230
74054353624
oct1171374512
9376431370
10166066506
1185816251
1247747376
1328535b08
14180abc14
15e8a4d56
hex9e5f94a

166066506 has 48 divisors (see below), whose sum is σ = 383300424. Its totient is φ = 51781632.

The previous prime is 166066501. The next prime is 166066529. The reversal of 166066506 is 605660661.

It can be written as a sum of positive squares in 4 ways, for example, as 144360225 + 21706281 = 12015^2 + 4659^2 .

It is not an unprimeable number, because it can be changed into a prime (166066501) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51370 + ... + 54506.

Almost surely, 2166066506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166066506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191650212).

166066506 is an abundant number, since it is smaller than the sum of its proper divisors (217233918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166066506 is a wasteful number, since it uses less digits than its factorization.

166066506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 166066506 is about 12886.6794016147. The cubic root of 166066506 is about 549.6598513858.

The spelling of 166066506 in words is "one hundred sixty-six million, sixty-six thousand, five hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 173 306 346 519 1038 1557 2941 3114 3137 5882 6274 8823 9411 17646 18822 26469 28233 52938 53329 56466 106658 159987 319974 479961 542701 959922 1085402 1628103 3256206 4884309 9225917 9768618 18451834 27677751 55355502 83033253 166066506