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164166331 = 7171379549
BaseRepresentation
bin10011100100011…
…11101010111011
3102102220111212111
421302033222323
5314011310311
624142353151
74032251020
oct1162175273
9372814774
10164166331
118473865a
1246b8b7b7
132801bc54
1417b35547
15e62bd21
hex9c8fabb

164166331 has 8 divisors (see below), whose sum is σ = 198655200. Its totient is φ = 132436608.

The previous prime is 164166313. The next prime is 164166383. The reversal of 164166331 is 133661461.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 164166331 - 29 = 164165819 is a prime.

It is a super-6 number, since 6×1641663316 (a number of 51 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 164166293 and 164166302.

It is not an unprimeable number, because it can be changed into a prime (164166031) 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 7 ways as a sum of consecutive naturals, for example, 689656 + ... + 689893.

It is an arithmetic number, because the mean of its divisors is an integer number (24831900).

Almost surely, 2164166331 is an apocalyptic number.

164166331 is a deficient number, since it is larger than the sum of its proper divisors (34488869).

164166331 is a wasteful number, since it uses less digits than its factorization.

164166331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379573.

The product of its digits is 7776, while the sum is 31.

The square root of 164166331 is about 12812.7409635878. The cubic root of 164166331 is about 547.5553550781. Note that the first 3 decimals are identical.

The spelling of 164166331 in words is "one hundred sixty-four million, one hundred sixty-six thousand, three hundred thirty-one".

Divisors: 1 7 17 119 1379549 9656843 23452333 164166331