Search a number
-
+
328388628886020 = 2232515600711694227
BaseRepresentation
bin100101010101010101110111…
…1100100101011001000000100
31121001201122110011121102110100
41022222223233210223020010
5321020304402443323040
63122231353052124100
7126112203232533363
oct11252535744531004
91531648404542410
10328388628886020
11956a8920a2892a
12309b7abb466630
1311130bb7b57011
145b1414721d7da
1527e721db09b30
hex12aaaef92b204

328388628886020 has 72 divisors (see below), whose sum is σ = 996118644515904. Its totient is φ = 87569732225088.

The previous prime is 328388628886013. The next prime is 328388628886037. The reversal of 328388628886020 is 20688826883823.

328388628886020 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 8 + 8 + 6 + 2 + 8 + 8 + 8 + 602 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 328388628886020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22234147 + ... + 33928373.

It is an arithmetic number, because the mean of its divisors is an integer number (13834981173832).

Almost surely, 2328388628886020 is an apocalyptic number.

328388628886020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328388628886020 is an abundant number, since it is smaller than the sum of its proper divisors (667730015629884).

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

328388628886020 is a wasteful number, since it uses less digits than its factorization.

328388628886020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11850249 (or 11850244 counting only the distinct ones).

The product of its (nonzero) digits is 679477248, while the sum is 72.

The spelling of 328388628886020 in words is "three hundred twenty-eight trillion, three hundred eighty-eight billion, six hundred twenty-eight million, eight hundred eighty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 156007 312014 468021 624028 780035 936042 1404063 1560070 1872084 2340105 2808126 3120140 4680210 5616252 7020315 9360420 11694227 14040630 23388454 28081260 35082681 46776908 58471135 70165362 105248043 116942270 140330724 175413405 210496086 233884540 350826810 420992172 526240215 701653620 1052480430 2104960860 1824381271589 3648762543178 5473143814767 7297525086356 9121906357945 10946287629534 16419431444301 18243812715890 21892575259068 27365719073835 32838862888602 36487625431780 54731438147670 65677725777204 82097157221505 109462876295340 164194314443010 328388628886020