Search a number
-
+
324056027856 = 2431110717833217
BaseRepresentation
bin1001011011100110011…
…11101001001011010000
31010222110000120212012210
410231303033221023100
520302131320342411
6404511433152120
732261260534341
oct4556317511320
91128400525183
10324056027856
111154821a8060
125297985b640
1324734913c12
1411981da40c8
15866956aca6
hex4b733e92d0

324056027856 has 160 divisors (see below), whose sum is σ = 922587522048. Its totient is φ = 97196267520.

The previous prime is 324056027831. The next prime is 324056027863. The reversal of 324056027856 is 658720650423.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100730760 + ... + 100733976.

Almost surely, 2324056027856 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 324056027856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461293761024).

324056027856 is an abundant number, since it is smaller than the sum of its proper divisors (598531494192).

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

324056027856 is a wasteful number, since it uses less digits than its factorization.

324056027856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 324056027856 in words is "three hundred twenty-four billion, fifty-six million, twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 176 214 264 321 428 528 642 856 1177 1284 1712 1783 2354 2568 3217 3531 3566 4708 5136 5349 6434 7062 7132 9416 9651 10698 12868 14124 14264 18832 19302 19613 21396 25736 28248 28528 35387 38604 39226 42792 51472 56496 58839 70774 77208 78452 85584 106161 117678 141548 154416 156904 190781 212322 235356 283096 313808 344219 381562 424644 470712 566192 572343 688438 763124 849288 941424 1032657 1144686 1376876 1526248 1698576 2065314 2098591 2289372 2753752 3052496 3786409 4130628 4197182 4578744 5507504 5735911 6295773 7572818 8261256 8394364 9157488 11359227 11471822 12591546 15145636 16522512 16788728 17207733 22718454 22943644 25183092 30291272 33577456 34415466 45436908 45887288 50366184 60582544 63095021 68830932 90873816 91774576 100732368 126190042 137661864 181747632 189285063 252380084 275323728 378570126 504760168 613742477 757140252 1009520336 1227484954 1514280504 1841227431 2454969908 3028561008 3682454862 4909939816 6751167247 7364909724 9819879632 13502334494 14729819448 20253501741 27004668988 29459638896 40507003482 54009337976 81014006964 108018675952 162028013928 324056027856