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5528310727696 = 241727124872
BaseRepresentation
bin101000001110010100011…
…1111110100010000010000
3201120111112110221211001221
41100130220333310100100
51211033440021241241
615431400524534424
71110256456565311
oct120345077642020
921514473854057
105528310727696
1118415a8312779
127535100b1414
13311418615703
14151800922608
1598c0d9e85d1
hex50728ff4410

5528310727696 has 135 divisors (see below), whose sum is σ = 11564489673597. Its totient is φ = 2559649559040.

The previous prime is 5528310727691. The next prime is 5528310727721. The reversal of 5528310727696 is 6967270138255.

It is a happy number.

The square root of 5528310727696 is 2351236.

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

It can be written as a sum of positive squares in only one way, i.e., 4304048144400 + 1224262583296 = 2074620^2 + 1106464^2 .

It is a super-2 number, since 2×55283107276962 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5528310727691) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11351767165 + ... + 11351767651.

Almost surely, 25528310727696 is an apocalyptic number.

5528310727696 is the 2351236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5528310727696

5528310727696 is an abundant number, since it is smaller than the sum of its proper divisors (6036178945901).

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

5528310727696 is an frugal number, since it uses more digits than its factorization.

5528310727696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 5528310727696 in words is "five trillion, five hundred twenty-eight billion, three hundred ten million, seven hundred twenty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 289 487 568 578 974 1136 1156 1207 1948 2312 2414 3896 4624 4828 5041 7792 8279 9656 10082 16558 19312 20164 20519 33116 34577 40328 41038 66232 69154 80656 82076 85697 132464 138308 140743 164152 171394 237169 276616 281486 328304 342788 474338 553232 562972 587809 685576 948676 1125944 1175618 1371152 1456849 1897352 2251888 2351236 2454967 2913698 3794704 4031873 4702472 4909934 5827396 8063746 9404944 9819868 9992753 11654792 16127492 16838999 19639736 19985506 23309584 32254984 33677998 39279472 39971012 41734439 64509968 67355996 68541841 79942024 83468878 134711992 137083682 159884048 166937756 269423984 274167364 286262983 333875512 548334728 572525966 667751024 709485463 1096669456 1145051932 1195568929 1418970926 2290103864 2391137858 2837941852 4580207728 4782275716 4866470711 5675883704 9564551432 9732941422 11351767408 19129102864 19465882844 20324671793 38931765688 40649343586 77863531376 81298687172 162597374344 325194748688 345519420481 691038840962 1382077681924 2764155363848 5528310727696