Search a number
-
+
27128613330 = 23257213473201
BaseRepresentation
bin11001010000111111…
…011100100111010010
32121000122021100100200
4121100333130213102
5421024411111310
620243540200030
71650162260100
oct312077344722
977018240320
1027128613330
11105614387a5
125311399016
132734532130
141454d60c70
15a8b9dc9c0
hex650fdc9d2

27128613330 has 144 divisors (see below), whose sum is σ = 88361955864. Its totient is φ = 5723827200.

The previous prime is 27128613319. The next prime is 27128613403. The reversal of 27128613330 is 3331682172.

27128613330 is a `hidden beast` number, since 2 + 7 + 1 + 2 + 8 + 613 + 3 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20313945729 + 6814667601 = 142527^2 + 82551^2 .

It is a super-2 number, since 2×271286133302 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 179271 + ... + 293930.

Almost surely, 227128613330 is an apocalyptic number.

27128613330 is an abundant number, since it is smaller than the sum of its proper divisors (61233342534).

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

27128613330 is a wasteful number, since it uses less digits than its factorization.

27128613330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473241 (or 473231 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 27128613330 in words is "twenty-seven billion, one hundred twenty-eight million, six hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1638 1911 2205 2730 3185 3822 4095 4410 5733 6370 8190 9555 11466 19110 28665 57330 473201 946402 1419603 2366005 2839206 3312407 4258809 4732010 6151613 6624814 7098015 8517618 9937221 12303226 14196030 16562035 18454839 19874442 21294045 23186849 29811663 30758065 33124070 36909678 42588090 43061291 46373698 49686105 55364517 59623326 61516130 69560547 86122582 92274195 99372210 110729034 115934245 129183873 139121094 149058315 184548390 208681641 215306455 231868490 258367746 276822585 298116630 301429037 347802735 387551619 417363282 430612910 553645170 602858074 645919365 695605470 775103238 904287111 1043408205 1291838730 1507145185 1808574222 1937758095 2086816410 2712861333 3014290370 3875516190 4521435555 5425722666 9042871110 13564306665 27128613330