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165666006 = 233111312129
BaseRepresentation
bin10011101111111…
…01110011010110
3102112201201001000
421313331303112
5314402303011
624234444130
74051065162
oct1167756326
9375651030
10165666006
1185572360
1247593646
132842572c
1418005ca2
15e826356
hex9dfdcd6

165666006 has 64 divisors (see below), whose sum is σ = 404870400. Its totient is φ = 49795200.

The previous prime is 165666001. The next prime is 165666013. The reversal of 165666006 is 600666561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165666001) 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 31 ways as a sum of consecutive naturals, for example, 76750 + ... + 78878.

It is an arithmetic number, because the mean of its divisors is an integer number (6326100).

Almost surely, 2165666006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165666006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202435200).

165666006 is an abundant number, since it is smaller than the sum of its proper divisors (239204394).

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

165666006 is a wasteful number, since it uses less digits than its factorization.

165666006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2282 (or 2276 counting only the distinct ones).

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

The square root of 165666006 is about 12871.1307195600. The cubic root of 165666006 is about 549.2176269989.

The spelling of 165666006 in words is "one hundred sixty-five million, six hundred sixty-six thousand, six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 131 198 262 297 393 594 786 1179 1441 2129 2358 2882 3537 4258 4323 6387 7074 8646 12774 12969 19161 23419 25938 38322 38907 46838 57483 70257 77814 114966 140514 210771 278899 421542 557798 632313 836697 1264626 1673394 2510091 3067889 5020182 6135778 7530273 9203667 15060546 18407334 27611001 55222002 82833003 165666006