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164105565 = 35131944293
BaseRepresentation
bin10011100100000…
…00110101011101
3102102210102111220
421302000311131
5314002334230
624141203553
74031605611
oct1162006535
9372712456
10164105565
11846a6a38
1246b605b9
1327cca3b0
1417b1b341
15e618d10
hex9c80d5d

164105565 has 32 divisors (see below), whose sum is σ = 297655680. Its totient is φ = 76536576.

The previous prime is 164105563. The next prime is 164105567. The reversal of 164105565 is 565501461.

It is an interprime number because it is at equal distance from previous prime (164105563) and next prime (164105567).

It is not a de Polignac number, because 164105565 - 21 = 164105563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164105561) 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 31 ways as a sum of consecutive naturals, for example, 18442 + ... + 25851.

It is an arithmetic number, because the mean of its divisors is an integer number (9301740).

Almost surely, 2164105565 is an apocalyptic number.

164105565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164105565 is a deficient number, since it is larger than the sum of its proper divisors (133550115).

164105565 is a wasteful number, since it uses less digits than its factorization.

164105565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44333.

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 164105565 is about 12810.3694326120. The cubic root of 164105565 is about 547.4877877220.

The spelling of 164105565 in words is "one hundred sixty-four million, one hundred five thousand, five hundred sixty-five".

Divisors: 1 3 5 13 15 19 39 57 65 95 195 247 285 741 1235 3705 44293 132879 221465 575809 664395 841567 1727427 2524701 2879045 4207835 8637135 10940371 12623505 32821113 54701855 164105565