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164112399 = 3411184189
BaseRepresentation
bin10011100100000…
…10100000001111
3102102210202220000
421302002200033
5314003044044
624141255343
74031634543
oct1162024017
9372722800
10164112399
1184701090
1246b64553
1328000539
1417b1da23
15e61ad69
hex9c8280f

164112399 has 20 divisors (see below), whose sum is σ = 267443880. Its totient is φ = 99461520.

The previous prime is 164112397. The next prime is 164112401. The reversal of 164112399 is 993211461.

It is a happy number.

164112399 is a `hidden beast` number, since 1 + 6 + 411 + 239 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (164112397) and next prime (164112401).

It is not a de Polignac number, because 164112399 - 21 = 164112397 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164112397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 91204 + ... + 92985.

It is an arithmetic number, because the mean of its divisors is an integer number (13372194).

Almost surely, 2164112399 is an apocalyptic number.

164112399 is a deficient number, since it is larger than the sum of its proper divisors (103331481).

164112399 is a wasteful number, since it uses less digits than its factorization.

164112399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184212 (or 184203 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 164112399 is about 12810.6361668732. The cubic root of 164112399 is about 547.4953874635.

The spelling of 164112399 in words is "one hundred sixty-four million, one hundred twelve thousand, three hundred ninety-nine".

Divisors: 1 3 9 11 27 33 81 99 297 891 184189 552567 1657701 2026079 4973103 6078237 14919309 18234711 54704133 164112399