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12348930951 = 337217619001
BaseRepresentation
bin10111000000000110…
…11011101110000111
31011212121200200122000
423200003123232013
5200242311242301
65401212240343
7615006116100
oct134003335607
934777620560
1012348930951
115267716665
1224877700b3
13121a535246
148520cb3a7
154c41e7786
hex2e00dbb87

12348930951 has 96 divisors (see below), whose sum is σ = 22905408960. Its totient is φ = 6531840000.

The previous prime is 12348930947. The next prime is 12348930961. The reversal of 12348930951 is 15903984321.

It is a happy number.

12348930951 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12348930951 - 22 = 12348930947 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12348930897 and 12348930906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12348930931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1367451 + ... + 1376451.

It is an arithmetic number, because the mean of its divisors is an integer number (238598010).

Almost surely, 212348930951 is an apocalyptic number.

12348930951 is a deficient number, since it is larger than the sum of its proper divisors (10556478009).

12348930951 is a wasteful number, since it uses less digits than its factorization.

12348930951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102 (or 9089 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 12348930951 in words is "twelve billion, three hundred forty-eight million, nine hundred thirty thousand, nine hundred fifty-one".

Divisors: 1 3 7 9 17 21 27 49 51 61 63 119 147 153 183 189 357 427 441 459 549 833 1037 1071 1281 1323 1647 2499 2989 3111 3213 3843 7259 7497 8967 9001 9333 11529 21777 22491 26901 27003 27999 50813 63007 65331 80703 81009 152439 153017 189021 195993 243027 441049 457317 459051 549061 567063 1071119 1323147 1371951 1377153 1647183 1701189 3213357 3843427 3969441 4131459 4941549 7497833 9334037 9640071 11530281 11908323 14824647 22493499 26903989 28002111 28920213 34590843 65338259 67480497 80711967 84006333 103772529 196014777 202441491 242135901 252018999 457367813 588044331 726407703 1372103439 1764132993 4116310317 12348930951