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164645316 = 2232112318077
BaseRepresentation
bin10011101000001…
…00100111000100
3102110210211220200
421310010213010
5314122122231
624200530500
74036314333
oct1164044704
9373724820
10164645316
1184a35510
1247180a30
1328158c84
1417c1bd1a
15e6c3be6
hex9d049c4

164645316 has 72 divisors (see below), whose sum is σ = 473788224. Its totient is φ = 47720640.

The previous prime is 164645303. The next prime is 164645321. The reversal of 164645316 is 613546461.

It is a happy number.

164645316 is a `hidden beast` number, since 1 + 6 + 4 + 645 + 3 + 1 + 6 = 666.

164645316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 70 + ... + 18146.

It is an arithmetic number, because the mean of its divisors is an integer number (6580392).

Almost surely, 2164645316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164645316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236894112).

164645316 is an abundant number, since it is smaller than the sum of its proper divisors (309142908).

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

164645316 is a wasteful number, since it uses less digits than its factorization.

164645316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18121 (or 18116 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 164645316 is about 12831.4190953300. The cubic root of 164645316 is about 548.0873686334.

The spelling of 164645316 in words is "one hundred sixty-four million, six hundred forty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 18077 36154 54231 72308 108462 162693 198847 216924 325386 397694 415771 596541 650772 795388 831542 1193082 1247313 1663084 1789623 2386164 2494626 3579246 3741939 4573481 4989252 7158492 7483878 9146962 13720443 14967756 18293924 27440886 41161329 54881772 82322658 164645316