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324992054231296 = 28412274812
BaseRepresentation
bin100100111100101000001101…
…1111100101000000100000000
31120121200221022001011100101021
41021321100123330220010000
5320044132211340400141
63111111142201315224
7125311621032403534
oct11171203374500400
91517627261140337
10324992054231296
11946093a10a7421
1230549779495b14
1310c4580854700a
145a379b104bbc4
152788bc857e6d1
hex127941bf28100

324992054231296 has 81 divisors (see below), whose sum is σ = 664947022317879. Its totient is φ = 158526940569600.

The previous prime is 324992054231293. The next prime is 324992054231303. The reversal of 324992054231296 is 692132450299423.

The square root of 324992054231296 is 18027536.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 254354800896 + 324737699430400 = 504336^2 + 18020480^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (324992054231291) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 11826049876 + ... + 11826077356.

Almost surely, 2324992054231296 is an apocalyptic number.

324992054231296 is the 18027536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324992054231296

324992054231296 is an abundant number, since it is smaller than the sum of its proper divisors (339954968086583).

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

324992054231296 is an frugal number, since it uses more digits than its factorization.

324992054231296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55060 (or 27524 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 61.

The spelling of 324992054231296 in words is "three hundred twenty-four trillion, nine hundred ninety-two billion, fifty-four million, two hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 1681 2624 3362 5248 6724 10496 13448 26896 27481 53792 54962 107584 109924 215168 219848 430336 439696 879392 1126721 1758784 2253442 3517568 4506884 7035136 9013768 18027536 36055072 46195561 72110144 92391122 144220288 184782244 288440576 369564488 739128976 755205361 1478257952 1510410722 2956515904 3020821444 5913031808 6041642888 11826063616 12083285776 24166571552 30963419801 48333143104 61926839602 96666286208 123853679204 193332572416 247707358408 495414716816 990829433632 1269500211841 1981658867264 2539000423682 3963317734528 5078000847364 7926635469056 10156001694728 20312003389456 40624006778912 81248013557824 162496027115648 324992054231296