Search a number
-
+
12378965344 = 2517411992789
BaseRepresentation
bin10111000011101100…
…00000010101100000
31011221201012121001221
423201312000111200
5200323003342334
65404204104424
7615522316654
oct134166002540
934851177057
1012378965344
11528266a979
122495835114
13122381ca85
148560a8a64
154c6b7b8b4
hex2e1d80560

12378965344 has 96 divisors (see below), whose sum is σ = 26576424000. Its totient is φ = 5652725760.

The previous prime is 12378965323. The next prime is 12378965383. The reversal of 12378965344 is 44356987321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12378965291 and 12378965300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4437102 + ... + 4439890.

It is an arithmetic number, because the mean of its divisors is an integer number (276837750).

Almost surely, 212378965344 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 12378965344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13288212000).

12378965344 is an abundant number, since it is smaller than the sum of its proper divisors (14197458656).

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

12378965344 is a wasteful number, since it uses less digits than its factorization.

12378965344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3048 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 52.

The spelling of 12378965344 in words is "twelve billion, three hundred seventy-eight million, nine hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 199 272 328 398 544 656 697 796 1312 1394 1592 2788 2789 3184 3383 5576 5578 6368 6766 8159 11152 11156 13532 16318 22304 22312 27064 32636 44624 47413 54128 65272 89248 94826 108256 114349 130544 138703 189652 228698 261088 277406 379304 457396 554812 555011 758608 914792 1109624 1110022 1517216 1829584 1943933 2219248 2220044 3659168 3887866 4438496 4440088 7775732 8880176 9435187 15551464 17760352 18870374 22755451 31102928 37740748 45510902 62205856 75481496 91021804 150962992 182043608 301925984 364087216 386842667 728174432 773685334 1547370668 3094741336 6189482672 12378965344