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324821382468 = 2231147503104089
BaseRepresentation
bin1001011101000001101…
…11001111010101000100
31011001102100201220100220
410232200313033111010
520310213233214333
6405115413304340
732316243124032
oct4564067172504
91131370656326
10324821382468
11115835225330
1252b520350b0
132482735657b
1411a158b1552
1586b184c8b3
hex4ba0dcf544

324821382468 has 96 divisors (see below), whose sum is σ = 846096814080. Its totient is φ = 96144003840.

The previous prime is 324821382443. The next prime is 324821382497. The reversal of 324821382468 is 864283128423.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 324821382468.

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 31 ways as a sum of consecutive naturals, for example, 3068568 + ... + 3172656.

It is an arithmetic number, because the mean of its divisors is an integer number (8813508480).

Almost surely, 2324821382468 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 324821382468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423048407040).

324821382468 is an abundant number, since it is smaller than the sum of its proper divisors (521275431612).

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

324821382468 is a wasteful number, since it uses less digits than its factorization.

324821382468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104657 (or 104655 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The spelling of 324821382468 in words is "three hundred twenty-four billion, eight hundred twenty-one million, three hundred eighty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 503 517 564 1006 1034 1509 1551 2012 2068 3018 3102 5533 6036 6204 11066 16599 22132 23641 33198 47282 66396 70923 94564 104089 141846 208178 260051 283692 312267 416356 520102 624534 780153 1040204 1144979 1249068 1560306 2289958 3120612 3434937 4579916 4892183 6869874 9784366 13739748 14676549 19568732 29353098 52356767 53814013 58706196 104713534 107628026 157070301 161442039 209427068 215256052 314140602 322884078 575924437 628281204 645768156 1151848874 1727773311 2303697748 2460768049 3455546622 4921536098 6911093244 7382304147 9843072196 14764608294 27068448539 29529216588 54136897078 81205345617 108273794156 162410691234 324821382468