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12424031829 = 35113107359
BaseRepresentation
bin10111001001000011…
…11010111001010101
31012001212000012200000
423210201322321111
5200421023004304
65412454041513
7616610346066
oct134441727125
935055005600
1012424031829
1152a6051000
1224a8949299
13122cc6b731
1485c07a56d
154caace939
hex2e487ae55

12424031829 has 96 divisors (see below), whose sum is σ = 20718996480. Its totient is φ = 7438566960.

The previous prime is 12424031801. The next prime is 12424031869. The reversal of 12424031829 is 92813042421.

12424031829 is a `hidden beast` number, since 1 + 242 + 403 + 1 + 8 + 2 + 9 = 666.

It is not a de Polignac number, because 12424031829 - 28 = 12424031573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12424031793 and 12424031802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12424031869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34607152 + ... + 34607510.

It is an arithmetic number, because the mean of its divisors is an integer number (215822880).

Almost surely, 212424031829 is an apocalyptic number.

It is an amenable number.

12424031829 is a deficient number, since it is larger than the sum of its proper divisors (8294964651).

12424031829 is an equidigital number, since it uses as much as digits as its factorization.

12424031829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12424031829 in words is "twelve billion, four hundred twenty-four million, thirty-one thousand, eight hundred twenty-nine".

Divisors: 1 3 9 11 27 33 81 99 107 121 243 297 321 359 363 891 963 1077 1089 1177 1331 2673 2889 3231 3267 3531 3949 3993 8667 9693 9801 10593 11847 11979 12947 26001 29079 29403 31779 35541 35937 38413 38841 43439 87237 95337 106623 107811 115239 116523 130317 142417 286011 319869 323433 345717 349569 390951 422543 427251 477829 959607 1037151 1048707 1172853 1267629 1281753 1433487 3111453 3146121 3518559 3802887 3845259 4300461 4647973 9334359 10555677 11408661 11535777 12901383 13943919 34225983 34607331 38704149 41831757 51127703 102677949 116112447 125495271 153383109 376485813 460149327 1129457439 1380447981 4141343943 12424031829