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164166399 = 3317357661
BaseRepresentation
bin10011100100011…
…11101011111111
3102102220111222000
421302033223333
5314011311044
624142353343
74032251145
oct1162175377
9372814860
10164166399
1184738711
1246b8b853
132801bca7
1417b35595
15e62bd69
hex9c8faff

164166399 has 16 divisors (see below), whose sum is σ = 257516640. Its totient is φ = 103006080.

The previous prime is 164166397. The next prime is 164166427. The reversal of 164166399 is 993661461.

164166399 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 6 + 639 + 9 = 666.

It is not a de Polignac number, because 164166399 - 21 = 164166397 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164166397) 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 15 ways as a sum of consecutive naturals, for example, 178372 + ... + 179289.

It is an arithmetic number, because the mean of its divisors is an integer number (16094790).

Almost surely, 2164166399 is an apocalyptic number.

164166399 is a deficient number, since it is larger than the sum of its proper divisors (93350241).

164166399 is a wasteful number, since it uses less digits than its factorization.

164166399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357687 (or 357681 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 164166399 is about 12812.7436171961. The cubic root of 164166399 is about 547.5554306798. Note that the first 3 decimals are identical.

The spelling of 164166399 in words is "one hundred sixty-four million, one hundred sixty-six thousand, three hundred ninety-nine".

Divisors: 1 3 9 17 27 51 153 459 357661 1072983 3218949 6080237 9656847 18240711 54722133 164166399