Search a number
-
+
328324361705208 = 2332111921818471671
BaseRepresentation
bin100101010100110111111100…
…0111100110101011011111000
31121001111111120021120101002100
41022221233320330311123320
5321013231243044031313
63122142043551303400
7126104436516522321
oct11251577074653370
91531444507511070
10328324361705208
1195683641869760
12309a756451ab60
1311127b1532b88b
145b10dabb47448
1527e570b957173
hex12a9bf8f356f8

328324361705208 has 96 divisors (see below), whose sum is σ = 1021104474249600. Its totient is φ = 94255797614400.

The previous prime is 328324361705167. The next prime is 328324361705237. The reversal of 328324361705208 is 802507163423823.

328324361705208 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 2 + 4 + 361 + 70 + 5 + 208 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10909220788 + ... + 10909250883.

It is an arithmetic number, because the mean of its divisors is an integer number (10636504940100).

Almost surely, 2328324361705208 is an apocalyptic number.

328324361705208 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

328324361705208 is an abundant number, since it is smaller than the sum of its proper divisors (692780112544392).

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

328324361705208 is a wasteful number, since it uses less digits than its factorization.

328324361705208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21818471713 (or 21818471706 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 328324361705208 in words is "three hundred twenty-eight trillion, three hundred twenty-four billion, three hundred sixty-one million, seven hundred five thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 15048 21818471671 43636943342 65455415013 87273886684 130910830026 174547773368 196366245039 240003188381 261821660052 392732490078 414550961749 480006376762 523643320104 720009565143 785464980156 829101923498 960012753524 1243652885247 1440019130286 1570929960312 1658203846996 1920025507048 2160028695429 2487305770494 2880038260572 3316407693992 3730958655741 4320057390858 4560060579239 4974611540988 5760076521144 7461917311482 8640114781716 9120121158478 9949223081976 13680181737717 14923834622964 17280229563432 18240242316956 27360363475434 29847669245928 36480484633912 41040545213151 54720726950868 82081090426302 109441453901736 164162180852604 328324361705208