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12352211442 = 2329715745061
BaseRepresentation
bin10111000000011111…
…11100100111110010
31011212211212100121200
423200033330213302
5200244131231232
65401410432030
7615046031154
oct134017744762
934784770550
1012352211442
11526955730a
122488892616
13121b11346c
14852702ad4
154c464477c
hex2e03fc9f2

12352211442 has 48 divisors (see below), whose sum is σ = 27211860312. Its totient is φ = 4048911360.

The previous prime is 12352211383. The next prime is 12352211489. The reversal of 12352211442 is 24411225321.

12352211442 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 2 + 211 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11417136201 + 935075241 = 106851^2 + 30579^2 .

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 23 ways as a sum of consecutive naturals, for example, 251592 + ... + 296652.

Almost surely, 212352211442 is an apocalyptic number.

12352211442 is an abundant number, since it is smaller than the sum of its proper divisors (14859648870).

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

12352211442 is a wasteful number, since it uses less digits than its factorization.

12352211442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45323 (or 45320 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 12352211442 its reverse (24411225321), we get a palindrome (36763436763).

The spelling of 12352211442 in words is "twelve billion, three hundred fifty-two million, two hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 97 157 194 291 314 471 582 873 942 1413 1746 2826 15229 30458 45061 45687 90122 91374 135183 137061 270366 274122 405549 811098 4370917 7074577 8741834 13112751 14149154 21223731 26225502 39338253 42447462 63671193 78676506 127342386 686233969 1372467938 2058701907 4117403814 6176105721 12352211442