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12330406452 = 223721310315661
BaseRepresentation
bin10110111101111001…
…10001001000110100
31011211022211112210110
423132330301020310
5200223041001302
65355311223020
7614362503600
oct133674611064
934738745713
1012330406452
115258213961
122481517a70
13121674a5c0
1484d868500
154c2788b6c
hex2def31234

12330406452 has 144 divisors (see below), whose sum is σ = 36394979712. Its totient is φ = 3220197120.

The previous prime is 12330406411. The next prime is 12330406453. The reversal of 12330406452 is 25460403321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330406453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 779502 + ... + 795162.

Almost surely, 212330406452 is an apocalyptic number.

12330406452 is a gapful number since it is divisible by the number (12) 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 12330406452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18197489856).

12330406452 is an abundant number, since it is smaller than the sum of its proper divisors (24064573260).

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

12330406452 is a wasteful number, since it uses less digits than its factorization.

12330406452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15798 (or 15789 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 12330406452 its reverse (25460403321), we get a palindrome (37790809773).

The spelling of 12330406452 in words is "twelve billion, three hundred thirty million, four hundred six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 103 147 156 182 196 206 273 294 309 364 412 546 588 618 637 721 1092 1236 1274 1339 1442 1911 2163 2548 2678 2884 3822 4017 4326 5047 5356 7644 8034 8652 9373 10094 15141 15661 16068 18746 20188 28119 30282 31322 37492 46983 56238 60564 62644 65611 93966 109627 112476 131222 187932 196833 203593 219254 262444 328881 393666 407186 438508 610779 657762 767389 787332 814372 1221558 1315524 1425151 1534778 1613083 2302167 2443116 2850302 3069556 3226166 4275453 4604334 4839249 5700604 6452332 8550906 9208668 9678498 9976057 11291581 17101812 19356996 19952114 20970079 22583162 29928171 33874743 39904228 41940158 45166324 59856342 62910237 67749486 79041067 83880316 119712684 125820474 135498972 146790553 158082134 237123201 251640948 293581106 316164268 440371659 474246402 587162212 880743318 948492804 1027533871 1761486636 2055067742 3082601613 4110135484 6165203226 12330406452