Search a number
-
+
12386969064 = 233443974583
BaseRepresentation
bin10111000100101001…
…00010010111101000
31011222021021020010000
423202110202113220
5200332031002224
65405051423000
7615650333301
oct134224422750
934867236100
1012386969064
115287137218
122498454a60
131225392ac2
1485718d7a8
154c770d0c9
hex2e25225e8

12386969064 has 160 divisors (see below), whose sum is σ = 35875667520. Its totient is φ = 3990518784.

The previous prime is 12386969017. The next prime is 12386969069. The reversal of 12386969064 is 46096968321.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12386969064.

It is not an unprimeable number, because it can be changed into a prime (12386969069) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2700517 + ... + 2705099.

It is an arithmetic number, because the mean of its divisors is an integer number (224222922).

Almost surely, 212386969064 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 12386969064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17937833760).

12386969064 is an abundant number, since it is smaller than the sum of its proper divisors (23488698456).

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

12386969064 is a wasteful number, since it uses less digits than its factorization.

12386969064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4741 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 12386969064 in words is "twelve billion, three hundred eighty-six million, nine hundred sixty-nine thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 97 108 129 162 172 194 216 258 291 324 344 387 388 516 582 648 774 776 873 1032 1161 1164 1548 1746 2322 2328 2619 3096 3483 3492 4171 4583 4644 5238 6966 6984 7857 8342 9166 9288 10476 12513 13749 13932 15714 16684 18332 20952 25026 27498 27864 31428 33368 36664 37539 41247 50052 54996 62856 75078 82494 100104 109992 112617 123741 150156 164988 197069 225234 247482 300312 329976 337851 371223 394138 444551 450468 494964 591207 675702 742446 788276 889102 900936 989928 1182414 1333653 1351404 1484892 1576552 1773621 1778204 2364828 2667306 2702808 2969784 3547242 3556408 4000959 4729656 5320863 5334612 7094484 8001918 10641726 10669224 12002877 14188968 15962589 16003836 19115693 21283452 24005754 31925178 32007672 36008631 38231386 42566904 48011508 57347079 63850356 72017262 76462772 96023016 114694158 127700712 144034524 152925544 172041237 229388316 288069048 344082474 458776632 516123711 688164948 1032247422 1376329896 1548371133 2064494844 3096742266 4128989688 6193484532 12386969064