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12429152307 = 321121331127223
BaseRepresentation
bin10111001001101010…
…11101000000110011
31012002012122100122100
423210311131000303
5200423330333212
65413155511443
7620002023435
oct134465350063
935065570570
1012429152307
1152a8a29100
1224aa5b8583
1312310422c0
1485ca10655
154cb291bdc
hex2e4d5d033

12429152307 has 144 divisors (see below), whose sum is σ = 22209101824. Its totient is φ = 6646147200.

The previous prime is 12429152291. The next prime is 12429152339. The reversal of 12429152307 is 70325192421.

12429152307 is a `hidden beast` number, since 1 + 2 + 42 + 91 + 523 + 0 + 7 = 666.

12429152307 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 12429152307 - 24 = 12429152291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12429156307) 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 143 ways as a sum of consecutive naturals, for example, 55735998 + ... + 55736220.

Almost surely, 212429152307 is an apocalyptic number.

12429152307 is a deficient number, since it is larger than the sum of its proper divisors (9779949517).

12429152307 is a wasteful number, since it uses less digits than its factorization.

12429152307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12429152307 in words is "twelve billion, four hundred twenty-nine million, one hundred fifty-two thousand, three hundred seven".

Divisors: 1 3 9 11 13 31 33 39 93 99 117 121 127 143 223 279 341 363 381 403 429 669 1023 1089 1143 1209 1287 1397 1573 1651 2007 2453 2899 3069 3627 3751 3937 4191 4433 4719 4953 6913 7359 8697 11253 11811 12573 13299 14157 14859 15367 18161 20739 22077 26091 26983 28321 31889 33759 35433 39897 43307 46101 48763 51181 54483 62217 76043 80949 84963 89869 95667 129921 138303 146289 153543 163449 199771 228129 242847 254889 269607 287001 311531 350779 368173 389763 438867 460629 476377 562991 599313 684387 808821 836473 877951 934593 988559 1052337 1104519 1429131 1688973 1797939 2509419 2633853 2803779 2965677 3157011 3313557 3426841 4049903 4287393 5066919 6192901 7528257 7901559 8897031 9657461 10280523 10874149 11413363 12149709 18578703 28972383 30841569 32622447 34240089 36449127 44548933 55736109 86917149 97867341 102720267 106232071 125546993 133646799 318696213 376640979 400940397 956088639 1129922937 1381016923 4143050769 12429152307