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328005075808 = 2517101259107
BaseRepresentation
bin1001100010111101010…
…00000100001101100000
31011100122020102021121001
410301132220010031200
520333223244411213
6410403343041344
732461162066564
oct4613650041540
91140566367531
10328005075808
11117119350253
12536a02a0254
1324c13b05a97
1411c386536a4
1587eb0c91dd
hex4c5ea04360

328005075808 has 72 divisors (see below), whose sum is σ = 690594347016. Its totient is φ = 152824473600.

The previous prime is 328005075803. The next prime is 328005075809. The reversal of 328005075808 is 808570500823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328005075803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5519791 + ... + 5578897.

It is an arithmetic number, because the mean of its divisors is an integer number (9591588153).

Almost surely, 2328005075808 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 328005075808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345297173508).

328005075808 is an abundant number, since it is smaller than the sum of its proper divisors (362589271208).

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

328005075808 is a wasteful number, since it uses less digits than its factorization.

328005075808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59336 (or 59227 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 328005075808 in words is "three hundred twenty-eight billion, five million, seventy-five thousand, eight hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 272 404 544 808 1616 1717 3232 3434 6868 10201 13736 20402 27472 40804 54944 59107 81608 118214 163216 173417 236428 326432 346834 472856 693668 945712 1004819 1387336 1891424 2009638 2774672 4019276 5549344 5969807 8038552 11939614 16077104 23879228 32154208 47758456 95516912 101486719 191033824 202973438 405946876 602950507 811893752 1205901014 1623787504 2411802028 3247575008 4823604056 9647208112 10250158619 19294416224 20500317238 41000634476 82001268952 164002537904 328005075808