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12676576248 = 2333723093631
BaseRepresentation
bin10111100111001010…
…10011001111111000
31012201110012210111000
423303211103033320
5201430200414443
65453515005000
7626065056150
oct136345231770
935643183430
1012676576248
1154156623a6
122559439760
1312703922bb
14883819760
154e2d678d3
hex2f39533f8

12676576248 has 128 divisors (see below), whose sum is σ = 40271616000. Its totient is φ = 3619313280.

The previous prime is 12676576243. The next prime is 12676576259. The reversal of 12676576248 is 84267567621.

It is a happy number.

12676576248 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 6 + 5 + 7 + 624 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12676576194 and 12676576203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12676576243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3489393 + ... + 3493023.

It is an arithmetic number, because the mean of its divisors is an integer number (314622000).

Almost surely, 212676576248 is an apocalyptic number.

12676576248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12676576248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20135808000).

12676576248 is an abundant number, since it is smaller than the sum of its proper divisors (27595039752).

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

12676576248 is a wasteful number, since it uses less digits than its factorization.

12676576248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5952 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 12676576248 in words is "twelve billion, six hundred seventy-six million, five hundred seventy-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 2309 3631 4618 6927 7262 9236 10893 13854 14524 16163 18472 20781 21786 25417 27708 29048 32326 32679 41562 43572 48489 50834 55416 62343 64652 65358 76251 83124 87144 96978 98037 101668 124686 129304 130716 145467 152502 166248 193956 196074 203336 228753 249372 261432 290934 305004 387912 392148 436401 457506 498744 581868 610008 686259 784296 872802 915012 1163736 1372518 1745604 1830024 2745036 3491208 5490072 8383979 16767958 25151937 33535916 50303874 58687853 67071832 75455811 100607748 117375706 150911622 176063559 201215496 226367433 234751412 301823244 352127118 452734866 469502824 528190677 603646488 704254236 905469732 1056381354 1408508472 1584572031 1810939464 2112762708 3169144062 4225525416 6338288124 12676576248