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328085887968 = 2533386398299
BaseRepresentation
bin1001100011000110111…
…00010101101111100000
31011100211212110222001000
410301203130111233200
520333404441403333
6410415351112000
732463163014546
oct4614334255740
91140755428030
10328085887968
1111715aa26663
1253703372600
1324c2778ba27
1411c4528bd96
15880323d713
hex4c63715be0

328085887968 has 96 divisors (see below), whose sum is σ = 957174624000. Its totient is φ = 109332540288.

The previous prime is 328085887933. The next prime is 328085887979. The reversal of 328085887968 is 869788580823.

328085887968 is a `hidden beast` number, since 32 + 8 + 0 + 8 + 588 + 7 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 328085887896 and 328085887905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3288483 + ... + 3386781.

It is an arithmetic number, because the mean of its divisors is an integer number (9970569000).

Almost surely, 2328085887968 is an apocalyptic number.

It is an amenable number.

328085887968 is an abundant number, since it is smaller than the sum of its proper divisors (629088736032).

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

328085887968 is a wasteful number, since it uses less digits than its factorization.

328085887968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102181 (or 102167 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 328085887968 in words is "three hundred twenty-eight billion, eighty-five million, eight hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3863 7726 11589 15452 23178 30904 34767 46356 61808 69534 92712 98299 104301 123616 139068 185424 196598 208602 278136 294897 370848 393196 417204 556272 589794 786392 834408 884691 1112544 1179588 1572784 1668816 1769382 2359176 2654073 3145568 3337632 3538764 4718352 5308146 7077528 9436704 10616292 14155056 21232584 28310112 42465168 84930336 379729037 759458074 1139187111 1518916148 2278374222 3037832296 3417561333 4556748444 6075664592 6835122666 9113496888 10252683999 12151329184 13670245332 18226993776 20505367998 27340490664 36453987552 41010735996 54680981328 82021471992 109361962656 164042943984 328085887968