Search a number
-
+
328842175963212 = 223223821483742249
BaseRepresentation
bin100101011000101001000100…
…1000101011110000001001100
31121010100000010122110011020100
41022301102021011132001030
5321100222234021310322
63123220002104051100
7126160030450222152
oct11261221105360114
91533300118404210
10328842175963212
119586320248492a
1230a6b997463a90
13111648b8075602
145b2c090c473d2
152803e164a3dac
hex12b148915e04c

328842175963212 has 72 divisors (see below), whose sum is σ = 868437306828000. Its totient is φ = 104720521847040.

The previous prime is 328842175963193. The next prime is 328842175963271. The reversal of 328842175963212 is 212369571248823.

328842175963212 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 4 + 2 + 1 + 7 + 596 + 32 + 1 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 328842175963212.

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 23 ways as a sum of consecutive naturals, for example, 241191337 + ... + 242550912.

It is an arithmetic number, because the mean of its divisors is an integer number (12061629261500).

Almost surely, 2328842175963212 is an apocalyptic number.

It is an amenable number.

328842175963212 is an abundant number, since it is smaller than the sum of its proper divisors (539595130864788).

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

328842175963212 is a wasteful number, since it uses less digits than its factorization.

328842175963212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483743103 (or 483743098 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 328842175963212 in words is "three hundred twenty-eight trillion, eight hundred forty-two billion, one hundred seventy-five million, nine hundred sixty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 821 828 1642 2463 3284 4926 7389 9852 14778 18883 29556 37766 56649 75532 113298 169947 226596 339894 679788 483742249 967484498 1451226747 1934968996 2902453494 4353680241 5804906988 8707360482 11126071727 17414720964 22252143454 33378215181 44504286908 66756430362 100134645543 133512860724 200269291086 397152386429 400538582172 794304772858 1191457159287 1588609545716 2382914318574 3574371477861 4765828637148 7148742955722 9134504887867 14297485911444 18269009775734 27403514663601 36538019551468 54807029327202 82210543990803 109614058654404 164421087981606 328842175963212