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12286300432 = 247312211541
BaseRepresentation
bin10110111000101001…
…00001000100010000
31011201020211201201011
423130110201010100
5200130243103212
65351054020304
7613315554610
oct133424410420
934636751634
1012286300432
1152353293aa
12246a7a7694
13120a576b73
14847a66a40
154bd9754a7
hex2dc521110

12286300432 has 120 divisors (see below), whose sum is σ = 28296718656. Its totient is φ = 5062176000.

The previous prime is 12286300393. The next prime is 12286300451. The reversal of 12286300432 is 23400368221.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 12286300394 and 12286300403.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22710082 + ... + 22710622.

Almost surely, 212286300432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12286300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148359328).

12286300432 is an abundant number, since it is smaller than the sum of its proper divisors (16010418224).

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

12286300432 is a wasteful number, since it uses less digits than its factorization.

12286300432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 12286300432 its reverse (23400368221), we get a palindrome (35686668653).

The spelling of 12286300432 in words is "twelve billion, two hundred eighty-six million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 211 217 248 422 434 496 541 844 868 961 1082 1477 1688 1736 1922 2164 2954 3376 3472 3787 3844 4328 5908 6541 6727 7574 7688 8656 11816 13082 13454 15148 15376 16771 23632 26164 26908 30296 33542 45787 52328 53816 60592 67084 91574 104656 107632 114151 117397 134168 183148 202771 228302 234794 268336 366296 405542 456604 469588 519901 732592 799057 811084 913208 939176 1039802 1419397 1598114 1622168 1826416 1878352 2079604 2838794 3196228 3244336 3538681 3639307 4159208 5677588 6392456 7077362 7278614 8318416 11355176 12784912 14154724 14557228 22710352 24770767 28309448 29114456 49541534 56618896 58228912 99083068 109699111 198166136 219398222 396332272 438796444 767893777 877592888 1535787554 1755185776 3071575108 6143150216 12286300432