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328656866000 = 2453374441309
BaseRepresentation
bin1001100100001010111…
…10011100101011010000
31011102022122212122122112
410302011132130223100
520341042124203000
6410552145124452
732513265160541
oct4620536345320
91142278778575
10328656866000
11117423261931
1253842629728
1324cb8b65858
1411c9b03c4c8
158838427235
hex4c8579cad0

328656866000 has 80 divisors (see below), whose sum is σ = 816170656080. Its totient is φ = 127909670400.

The previous prime is 328656865993. The next prime is 328656866047. The reversal of 328656866000 is 668656823.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 115659847744 + 212997018256 = 340088^2 + 461516^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 328656866000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146655 + ... + 2294654.

It is an arithmetic number, because the mean of its divisors is an integer number (10202133201).

Almost surely, 2328656866000 is an apocalyptic number.

It is an amenable number.

328656866000 is an abundant number, since it is smaller than the sum of its proper divisors (487513790080).

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

328656866000 is a wasteful number, since it uses less digits than its factorization.

328656866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441369 (or 4441353 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 328656866000 in words is "three hundred twenty-eight billion, six hundred fifty-six million, eight hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 250 296 370 400 500 592 740 925 1000 1480 1850 2000 2960 3700 4625 7400 9250 14800 18500 37000 74000 4441309 8882618 17765236 22206545 35530472 44413090 71060944 88826180 111032725 164328433 177652360 222065450 328656866 355304720 444130900 555163625 657313732 821642165 888261800 1110327250 1314627464 1643284330 1776523600 2220654500 2629254928 3286568660 4108210825 4441309000 6573137320 8216421650 8882618000 13146274640 16432843300 20541054125 32865686600 41082108250 65731373200 82164216500 164328433000 328656866000