Search a number
-
+
12996261515304 = 2332617039420383
BaseRepresentation
bin1011110100011110110110…
…0011010001000000101000
31201000102121210212211101100
42331013231203101000220
53200412320421442204
643350222231521400
72510643322120164
oct275075543210050
951012553784340
1012996261515304
1141607578a4921
12155a919829260
137337082ab8b2
1432d045707ca4
151780e136ca39
hexbd1ed8d1028

12996261515304 has 96 divisors (see below), whose sum is σ = 35780395622400. Its totient is φ = 4260453863040.

The previous prime is 12996261515261. The next prime is 12996261515309. The reversal of 12996261515304 is 40351516269921.

It is a happy number.

12996261515304 is a `hidden beast` number, since 1 + 2 + 9 + 9 + 6 + 2 + 615 + 15 + 3 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (12996261515309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30705097 + ... + 31125479.

It is an arithmetic number, because the mean of its divisors is an integer number (372712454400).

Almost surely, 212996261515304 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 12996261515304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17890197811200).

12996261515304 is an abundant number, since it is smaller than the sum of its proper divisors (22784134107096).

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

12996261515304 is a wasteful number, since it uses less digits than its factorization.

12996261515304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427495 (or 427488 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 12996261515304 in words is "twelve trillion, nine hundred ninety-six billion, two hundred sixty-one million, five hundred fifteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 4392 7039 14078 21117 28156 42234 56312 63351 84468 126702 168936 253404 420383 429379 506808 840766 858758 1261149 1288137 1681532 1717516 2522298 2576274 3363064 3435032 3783447 3864411 5044596 5152548 7566894 7728822 10089192 10305096 15133788 15457644 25643363 30267576 30915288 51286726 76930089 102573452 153860178 205146904 230790267 307720356 461580534 615440712 923161068 1846322136 2959075937 5918151874 8877227811 11836303748 17754455622 23672607496 26631683433 35508911244 53263366866 71017822488 106526733732 180503632157 213053467464 361007264314 541510896471 722014528628 1083021792942 1444029057256 1624532689413 2166043585884 3249065378826 4332087171768 6498130757652 12996261515304