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12236025536 = 267171984559
BaseRepresentation
bin10110110010101001…
…01110111011000000
31011120202020111111222
423121110232323000
5200024410304121
65342100254212
7612135333560
oct133124567300
934522214458
1012236025536
115209a100a9
1224559a1368
1312000235c7
148410dada0
154b93440ab
hex2d952eec0

12236025536 has 112 divisors (see below), whose sum is σ = 30928665600. Its totient is φ = 4675719168.

The previous prime is 12236025511. The next prime is 12236025539. The reversal of 12236025536 is 63552063221.

12236025536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 12236025496 and 12236025505.

It is not an unprimeable number, because it can be changed into a prime (12236025539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102425 + ... + 186983.

It is an arithmetic number, because the mean of its divisors is an integer number (276148800).

Almost surely, 212236025536 is an apocalyptic number.

12236025536 is a gapful number since it is divisible by the number (16) 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 12236025536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464332800).

12236025536 is an abundant number, since it is smaller than the sum of its proper divisors (18692640064).

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

12236025536 is a wasteful number, since it uses less digits than its factorization.

12236025536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84614 (or 84604 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 12236025536 its reverse (63552063221), we get a palindrome (75788088757).

The spelling of 12236025536 in words is "twelve billion, two hundred thirty-six million, twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 64 68 76 112 119 133 136 152 224 238 266 272 304 323 448 476 532 544 608 646 952 1064 1088 1216 1292 1904 2128 2261 2584 3808 4256 4522 5168 7616 8512 9044 10336 18088 20672 36176 72352 84559 144704 169118 338236 591913 676472 1183826 1352944 1437503 1606621 2367652 2705888 2875006 3213242 4735304 5411776 5750012 6426484 9470608 10062521 11246347 11500024 12852968 18941216 20125042 22492694 23000048 25705936 27312557 37882432 40250084 44985388 46000096 51411872 54625114 80500168 89970776 92000192 102823744 109250228 161000336 179941552 191187899 218500456 322000672 359883104 382375798 437000912 644001344 719766208 764751596 874001824 1529503192 1748003648 3059006384 6118012768 12236025536