Search a number
-
+
5328396622224 = 2432132147972
BaseRepresentation
bin100110110001001110100…
…1100000001100110010000
3200212101112010022000201100
41031202131030001212100
51144300024013402344
615155455343504400
71056651430664544
oct115423514014620
920771463260640
105328396622224
11177483aa89395
127208192b8100
132c860903b900
14145c77ddda24
159390cd8e569
hex4d89d301990

5328396622224 has 135 divisors (see below), whose sum is σ = 16148524050243. Its totient is φ = 1639395853056.

The previous prime is 5328396622181. The next prime is 5328396622247. The reversal of 5328396622224 is 4222266938235.

The square root of 5328396622224 is 2308332.

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

5328396622224 is a `hidden beast` number, since 5 + 3 + 2 + 8 + 3 + 9 + 6 + 622 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1339269223824 + 3989127398400 = 1157268^2 + 1997280^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 360092394 + ... + 360107190.

Almost surely, 25328396622224 is an apocalyptic number.

5328396622224 is the 2308332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5328396622224

5328396622224 is an abundant number, since it is smaller than the sum of its proper divisors (10820127428019).

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

5328396622224 is an equidigital number, since it uses as much as digits as its factorization.

5328396622224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29634 (or 14815 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 5328396622224 in words is "five trillion, three hundred twenty-eight billion, three hundred ninety-six million, six hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 14797 24336 29594 44391 59188 88782 118376 133173 177564 192361 236752 266346 355128 384722 532692 577083 710256 769444 1065384 1154166 1538888 1731249 2130768 2308332 2500693 3077776 3462498 4616664 5001386 6924996 7502079 9233328 10002772 13849992 15004158 20005544 22506237 27699984 30008316 40011088 45012474 60016632 90024948 120033264 180049896 218951209 360099792 437902418 656853627 875804836 1313707254 1751609672 1970560881 2627414508 2846365717 3503219344 3941121762 5254829016 5692731434 7882243524 8539097151 10509658032 11385462868 15764487048 17078194302 22770925736 25617291453 31528974096 34156388604 37002754321 45541851472 51234582906 68312777208 74005508642 102469165812 111008262963 136625554416 148011017284 204938331624 222016525926 296022034568 333024788889 409876663248 444033051852 592044069136 666049577778 888066103704 1332099155556 1776132207408 2664198311112 5328396622224