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12233202760492 = 22719291634864553
BaseRepresentation
bin1011001000000100001110…
…1101000111101100101100
31121022111000221012210002221
42302001003231013230230
53100412044401313432
642003504502325124
72401551111533350
oct262010355075454
947274027183087
1012233202760492
11399708804842a
121456a62a297a4
136a978079acac
14304139611460
15163331264b97
hexb2043b47b2c

12233202760492 has 96 divisors (see below), whose sum is σ = 26805638361600. Its totient is φ = 4766171300352.

The previous prime is 12233202760481. The next prime is 12233202760501. The reversal of 12233202760492 is 29406720233221.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82488 + ... + 4947040.

It is an arithmetic number, because the mean of its divisors is an integer number (279225399600).

Almost surely, 212233202760492 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 12233202760492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13402819180800).

12233202760492 is an abundant number, since it is smaller than the sum of its proper divisors (14572435601108).

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

12233202760492 is a wasteful number, since it uses less digits than its factorization.

12233202760492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864775 (or 4864773 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 12233202760492 in words is "twelve trillion, two hundred thirty-three billion, two hundred two million, seven hundred sixty thousand, four hundred ninety-two".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 163 203 266 326 406 532 551 652 812 1102 1141 2204 2282 3097 3857 4564 4727 6194 7714 9454 12388 15428 18908 21679 33089 43358 66178 86716 89813 132356 179626 359252 628691 1257382 2514764 4864553 9729106 19458212 34051871 68103742 92426507 136207484 141072037 184853014 282144074 369706028 564288148 646985549 792922139 987504259 1293971098 1585844278 1975008518 2587942196 2680368703 3171688556 3950017036 5360737406 5550454973 10721474812 11100909946 15065520641 18762580921 22201819892 22994742031 30131041282 37525161842 45989484062 60262082564 75050323684 91978968124 105458644487 160963194217 210917288974 321926388434 421834577948 436900098589 643852776868 873800197178 1747600394356 3058300690123 6116601380246 12233202760492