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164166401 = 733170853
BaseRepresentation
bin10011100100011…
…11101100000001
3102102220111222002
421302033230001
5314011311101
624142353345
74032251150
oct1162175401
9372814862
10164166401
1184738713
1246b8b855
132801bca9
1417b35597
15e62bd6b
hex9c8fb01

164166401 has 8 divisors (see below), whose sum is σ = 188188224. Its totient is φ = 140286960.

The previous prime is 164166397. The next prime is 164166427. The reversal of 164166401 is 104661461.

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 164166401 - 22 = 164166397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164166451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33110 + ... + 37743.

It is an arithmetic number, because the mean of its divisors is an integer number (23523528).

Almost surely, 2164166401 is an apocalyptic number.

It is an amenable number.

164166401 is a deficient number, since it is larger than the sum of its proper divisors (24021823).

164166401 is an equidigital number, since it uses as much as digits as its factorization.

164166401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71191.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 164166401 is about 12812.7436952434. The cubic root of 164166401 is about 547.5554329034. Note that the first 3 decimals are identical.

The spelling of 164166401 in words is "one hundred sixty-four million, one hundred sixty-six thousand, four hundred one".

Divisors: 1 7 331 2317 70853 495971 23452343 164166401