Search a number
-
+
5225253435144 = 2332293180726323
BaseRepresentation
bin100110000001001100101…
…0111111111011100001000
3200111112021220012020101100
41030002121113333130020
51141102304334411034
615040240455221400
71046340436240401
oct114023127773410
920445256166340
105225253435144
111735021384316
12704832977860
132bb97c292a72
14140c917429a8
1590dc2c2a099
hex4c0995ff708

5225253435144 has 96 divisors (see below), whose sum is σ = 15111967852800. Its totient is φ = 1627442651520.

The previous prime is 5225253435139. The next prime is 5225253435161. The reversal of 5225253435144 is 4415343525225.

5225253435144 is a `hidden beast` number, since 5 + 2 + 2 + 5 + 253 + 4 + 351 + 44 = 666.

It is a super-2 number, since 2×52252534351442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5225253435144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40298434 + ... + 40427889.

It is an arithmetic number, because the mean of its divisors is an integer number (157416331800).

Almost surely, 25225253435144 is an apocalyptic number.

It is an amenable number.

5225253435144 is an abundant number, since it is smaller than the sum of its proper divisors (9886714417656).

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

5225253435144 is a wasteful number, since it uses less digits than its factorization.

5225253435144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80726395 (or 80726388 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 45.

The spelling of 5225253435144 in words is "five trillion, two hundred twenty-five billion, two hundred fifty-three million, four hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 31 36 58 62 72 87 93 116 124 174 186 232 248 261 279 348 372 522 558 696 744 899 1044 1116 1798 2088 2232 2697 3596 5394 7192 8091 10788 16182 21576 32364 64728 80726323 161452646 242178969 322905292 484357938 645810584 726536907 968715876 1453073814 1937431752 2341063367 2502516013 2906147628 4682126734 5005032026 5812295256 7023190101 7507548039 9364253468 10010064052 14046380202 15015096078 18728506936 20020128104 21069570303 22522644117 28092760404 30030192156 42139140606 45045288234 56185520808 60060384312 72572964377 84278281212 90090576468 145145928754 168556562424 180181152936 217718893131 290291857508 435437786262 580583715016 653156679393 870875572524 1306313358786 1741751145048 2612626717572 5225253435144