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12335427468 = 2235713139459
BaseRepresentation
bin10110111110011111…
…11010111110001100
31011211200021122100000
423133033322332030
5200230332134333
65400011004300
7614453255250
oct133717727614
934750248300
1012335427468
115260033261
122483139690
1312177b7b10
148503b4260
154c2e2b713
hex2df3faf8c

12335427468 has 144 divisors (see below), whose sum is σ = 39798536960. Its totient is φ = 3253276224.

The previous prime is 12335427463. The next prime is 12335427479. The reversal of 12335427468 is 86472453321.

12335427468 is a `hidden beast` number, since 1 + 2 + 33 + 542 + 74 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12335427463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18723 + ... + 158181.

Almost surely, 212335427468 is an apocalyptic number.

12335427468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12335427468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19899268480).

12335427468 is an abundant number, since it is smaller than the sum of its proper divisors (27463109492).

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

12335427468 is a wasteful number, since it uses less digits than its factorization.

12335427468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139498 (or 139484 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 12335427468 in words is "twelve billion, three hundred thirty-five million, four hundred twenty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4914 6318 6804 7371 9828 12636 14742 22113 29484 44226 88452 139459 278918 418377 557836 836754 976213 1255131 1673508 1812967 1952426 2510262 2928639 3625934 3765393 3904852 5020524 5438901 5857278 7251868 7530786 8785917 10877802 11296179 11714556 12690769 15061572 16316703 17571834 21755604 22592358 25381538 26357751 32633406 33888537 35143668 38072307 45184716 48950109 50763076 52715502 65266812 67777074 76144614 79073253 97900218 105431004 114216921 135554148 146850327 152289228 158146506 195800436 228433842 237219759 293700654 316293012 342650763 440550981 456867684 474439518 587401308 685301526 881101962 948879036 1027952289 1370603052 1762203924 2055904578 3083856867 4111809156 6167713734 12335427468