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166505247 = 3331331601
BaseRepresentation
bin10011110110010…
…10101100011111
3102121022100021000
421323022230133
5320111131442
624304441343
74061162016
oct1173125437
9377270230
10166505247
1185a95947
1247919253
132865a71c
1418183a7d
15e93ed4c
hex9ecab1f

166505247 has 32 divisors (see below), whose sum is σ = 255825920. Its totient is φ = 106920000.

The previous prime is 166505243. The next prime is 166505281. The reversal of 166505247 is 742505661.

It is a happy number.

It is not a de Polignac number, because 166505247 - 22 = 166505243 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166505243) 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 31 ways as a sum of consecutive naturals, for example, 276747 + ... + 277347.

It is an arithmetic number, because the mean of its divisors is an integer number (7994560).

Almost surely, 2166505247 is an apocalyptic number.

166505247 is a deficient number, since it is larger than the sum of its proper divisors (89320673).

166505247 is a wasteful number, since it uses less digits than its factorization.

166505247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 166505247 is about 12903.6912160823. The cubic root of 166505247 is about 550.1434854289.

The spelling of 166505247 in words is "one hundred sixty-six million, five hundred five thousand, two hundred forty-seven".

Divisors: 1 3 9 27 31 93 279 331 601 837 993 1803 2979 5409 8937 10261 16227 18631 30783 55893 92349 167679 198931 277047 503037 596793 1790379 5371137 6166861 18500583 55501749 166505247