Search a number
-
+
12286683750 = 2354112910271
BaseRepresentation
bin10110111000101011…
…11110101001100110
31011201021120012112010
423130111332221212
5200130342340000
65351110135050
7613322042265
oct133425765146
934637505463
1012286683750
1152355703a0
12246a951486
13120a67c493
14847b265dc
154bd9edd50
hex2dc57ea66

12286683750 has 160 divisors (see below), whose sum is σ = 34656906240. Its totient is φ = 2875600000.

The previous prime is 12286683737. The next prime is 12286683763. The reversal of 12286683750 is 5738668221.

It is an interprime number because it is at equal distance from previous prime (12286683737) and next prime (12286683763).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12286683750.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1191115 + ... + 1201385.

It is an arithmetic number, because the mean of its divisors is an integer number (216605664).

Almost surely, 212286683750 is an apocalyptic number.

12286683750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12286683750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17328453120).

12286683750 is an abundant number, since it is smaller than the sum of its proper divisors (22370222490).

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

12286683750 is a wasteful number, since it uses less digits than its factorization.

12286683750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336 (or 10321 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 12286683750 in words is "twelve billion, two hundred eighty-six million, six hundred eighty-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 29 30 33 50 55 58 66 75 87 110 125 145 150 165 174 250 275 290 319 330 375 435 550 625 638 725 750 825 870 957 1250 1375 1450 1595 1650 1875 1914 2175 2750 3190 3625 3750 4125 4350 4785 6875 7250 7975 8250 9570 10271 10875 13750 15950 18125 20542 20625 21750 23925 30813 36250 39875 41250 47850 51355 54375 61626 79750 102710 108750 112981 119625 154065 199375 225962 239250 256775 297859 308130 338943 398750 513550 564905 595718 598125 677886 770325 893577 1129810 1196250 1283875 1489295 1540650 1694715 1787154 2567750 2824525 2978590 3276449 3389430 3851625 4467885 5649050 6419375 6552898 7446475 7703250 8473575 8935770 9829347 12838750 14122625 14892950 16382245 16947150 19258125 19658694 22339425 28245250 32764490 37232375 38516250 42367875 44678850 49146735 70613125 74464750 81911225 84735750 98293470 111697125 141226250 163822450 186161875 211839375 223394250 245733675 372323750 409556125 423678750 491467350 558485625 819112250 1116971250 1228668375 2047780625 2457336750 4095561250 6143341875 12286683750