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328465642000 = 2453164232821
BaseRepresentation
bin1001100011110100001…
…00111111001000010000
31011101211100001110122011
410301322010333020100
520340144201021000
6410521154352304
732505453614266
oct4617204771020
91141740043564
10328465642000
11117335323471
12537aa58b694
1324c88361c62
1411c7d8a2436
1588267532ba
hex4c7a13f210

328465642000 has 40 divisors (see below), whose sum is σ = 794229927192. Its totient is φ = 131386256000.

The previous prime is 328465641997. The next prime is 328465642019. The reversal of 328465642000 is 246564823.

It can be written as a sum of positive squares in 4 ways, for example, as 8906074384 + 319559567616 = 94372^2 + 565296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82114411 + ... + 82118410.

Almost surely, 2328465642000 is an apocalyptic number.

It is an amenable number.

328465642000 is an abundant number, since it is smaller than the sum of its proper divisors (465764285192).

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

328465642000 is a wasteful number, since it uses less digits than its factorization.

328465642000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164232844 (or 164232828 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The spelling of 328465642000 in words is "three hundred twenty-eight billion, four hundred sixty-five million, six hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 164232821 328465642 656931284 821164105 1313862568 1642328210 2627725136 3284656420 4105820525 6569312840 8211641050 13138625680 16423282100 20529102625 32846564200 41058205250 65693128400 82116410500 164232821000 328465642000