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166668264 = 23327347953
BaseRepresentation
bin10011110111100…
…10011111101000
3102121121121212200
421323302133220
5320131341024
624312140200
74062441210
oct1173623750
9377547780
10166668264
1186097374
1247997660
13286b6999
14181c7240
15e9732c9
hex9ef27e8

166668264 has 96 divisors (see below), whose sum is σ = 517907520. Its totient is φ = 47432448.

The previous prime is 166668259. The next prime is 166668269. The reversal of 166668264 is 462866661.

It is an interprime number because it is at equal distance from previous prime (166668259) and next prime (166668269).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (166668269) 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 23 ways as a sum of consecutive naturals, for example, 174412 + ... + 175364.

It is an arithmetic number, because the mean of its divisors is an integer number (5394870).

Almost surely, 2166668264 is an apocalyptic number.

166668264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166668264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258953760).

166668264 is an abundant number, since it is smaller than the sum of its proper divisors (351239256).

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

166668264 is a wasteful number, since it uses less digits than its factorization.

166668264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1312 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 166668264 is about 12910.0063516638. The cubic root of 166668264 is about 550.3229662363.

The spelling of 166668264 in words is "one hundred sixty-six million, six hundred sixty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 347 504 694 953 1041 1388 1906 2082 2429 2776 2859 3123 3812 4164 4858 5718 6246 6671 7287 7624 8328 8577 9716 11436 12492 13342 14574 17154 19432 20013 21861 22872 24984 26684 29148 34308 40026 43722 53368 58296 60039 68616 80052 87444 120078 160104 174888 240156 330691 480312 661382 992073 1322764 1984146 2314837 2645528 2976219 3968292 4629674 5952438 6944511 7936584 9259348 11904876 13889022 18518696 20833533 23809752 27778044 41667066 55556088 83334132 166668264