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164645550 = 23252894111
BaseRepresentation
bin10011101000001…
…00101010101110
3102110210212020100
421310010222232
5314122124200
624200531530
74036315116
oct1164045256
9373725210
10164645550
1184a35703
1247180ba6
1328159104
1417c1c046
15e6c3d00
hex9d04aae

164645550 has 72 divisors (see below), whose sum is σ = 447426720. Its totient is φ = 43401600.

The previous prime is 164645539. The next prime is 164645563. The reversal of 164645550 is 55546461.

164645550 is a `hidden beast` number, since 1 + 6 + 4 + 645 + 5 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 37995 + ... + 42105.

It is an arithmetic number, because the mean of its divisors is an integer number (6214260).

Almost surely, 2164645550 is an apocalyptic number.

164645550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164645550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223713360).

164645550 is an abundant number, since it is smaller than the sum of its proper divisors (282781170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164645550 is a wasteful number, since it uses less digits than its factorization.

164645550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 164645550 is about 12831.4282135700. The cubic root of 164645550 is about 548.0876282872.

The spelling of 164645550 in words is "one hundred sixty-four million, six hundred forty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 89 90 150 178 225 267 445 450 534 801 890 1335 1602 2225 2670 4005 4111 4450 6675 8010 8222 12333 13350 20025 20555 24666 36999 40050 41110 61665 73998 102775 123330 184995 205550 308325 365879 369990 616650 731758 924975 1097637 1829395 1849950 2195274 3292911 3658790 5488185 6585822 9146975 10976370 16464555 18293950 27440925 32929110 54881850 82322775 164645550