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164068317 = 3272372037
BaseRepresentation
bin10011100011101…
…11101111011101
3102102201112102100
421301313233131
5314000141232
624140315313
74031362200
oct1161675735
9372645370
10164068317
1184680a56
1246b42b39
1327cb645a
1417b0b937
15e60cc7c
hex9c77bdd

164068317 has 18 divisors (see below), whose sum is σ = 275680158. Its totient is φ = 93753072.

The previous prime is 164068301. The next prime is 164068319. The reversal of 164068317 is 713860461.

164068317 is a `hidden beast` number, since 1 + 640 + 6 + 8 + 3 + 1 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 163558521 + 509796 = 12789^2 + 714^2 .

It is not a de Polignac number, because 164068317 - 24 = 164068301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164068319) 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 17 ways as a sum of consecutive naturals, for example, 185578 + ... + 186459.

Almost surely, 2164068317 is an apocalyptic number.

It is an amenable number.

164068317 is a deficient number, since it is larger than the sum of its proper divisors (111611841).

164068317 is a wasteful number, since it uses less digits than its factorization.

164068317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372057 (or 372047 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 164068317 is about 12808.9155278657. The cubic root of 164068317 is about 547.4463624191.

The spelling of 164068317 in words is "one hundred sixty-four million, sixty-eight thousand, three hundred seventeen".

Divisors: 1 3 7 9 21 49 63 147 441 372037 1116111 2604259 3348333 7812777 18229813 23438331 54689439 164068317