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27428012346 = 23728910310177
BaseRepresentation
bin11001100010110101…
…100100000100111010
32121210111122101121010
4121202311210010322
5422133032343341
620333353254350
71660456154400
oct314265440472
977714571533
1027428012346
11106a54416a9
1253957043b6
13278157c507
141482a19470
15aa7e2d716
hex662d6413a

27428012346 has 96 divisors (see below), whose sum is σ = 65161998720. Its totient is φ = 7672541184.

The previous prime is 27428012329. The next prime is 27428012387. The reversal of 27428012346 is 64321082472.

It is a happy number.

It is a super-2 number, since 2×274280123462 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690010 + ... + 2700186.

It is an arithmetic number, because the mean of its divisors is an integer number (678770820).

Almost surely, 227428012346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27428012346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32580999360).

27428012346 is an abundant number, since it is smaller than the sum of its proper divisors (37733986374).

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

27428012346 is a wasteful number, since it uses less digits than its factorization.

27428012346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10388 (or 10381 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 27428012346 in words is "twenty-seven billion, four hundred twenty-eight million, twelve thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 89 98 103 147 178 206 267 294 309 534 618 623 721 1246 1442 1869 2163 3738 4326 4361 5047 8722 9167 10094 10177 13083 15141 18334 20354 26166 27501 30282 30531 55002 61062 64169 71239 128338 142478 192507 213717 385014 427434 449183 498673 898366 905753 997346 1048231 1347549 1496019 1811506 2096462 2695098 2717259 2992038 3144693 5434518 6289386 6340271 7337617 12680542 14675234 19020813 22012851 38041626 44025702 44381897 51363319 88763794 93292559 102726638 133145691 154089957 186585118 266291382 279877677 308179914 559755354 653047913 1306095826 1959143739 3918287478 4571335391 9142670782 13714006173 27428012346