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12550142304 = 2532752311903
BaseRepresentation
bin10111011000000101…
…11111100101100000
31012101122022021201100
423230002333211200
5201200314023204
65433201034400
7623001310110
oct135402774540
935348267640
1012550142304
115360256737
122523025a00
131250124a0b
14870b07040
154d6be0a39
hex2ec0bf960

12550142304 has 144 divisors (see below), whose sum is σ = 40869384192. Its totient is φ = 3578598144.

The previous prime is 12550142299. The next prime is 12550142323. The reversal of 12550142304 is 40324105521.

12550142304 is a `hidden beast` number, since 125 + 501 + 4 + 2 + 30 + 4 = 666.

12550142304 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 (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1048417 + ... + 1060319.

It is an arithmetic number, because the mean of its divisors is an integer number (283815168).

Almost surely, 212550142304 is an apocalyptic number.

12550142304 is a gapful number since it is divisible by the number (14) 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 12550142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20434692096).

12550142304 is an abundant number, since it is smaller than the sum of its proper divisors (28319241888).

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

12550142304 is a wasteful number, since it uses less digits than its factorization.

12550142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12449 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 12550142304 its reverse (40324105521), we get a palindrome (52874247825).

The spelling of 12550142304 in words is "twelve billion, five hundred fifty million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 523 672 1008 1046 1569 2016 2092 3138 3661 4184 4707 6276 7322 8368 9414 10983 11903 12552 14644 16736 18828 21966 23806 25104 29288 32949 35709 37656 43932 47612 50208 58576 65898 71418 75312 83321 87864 95224 107127 117152 131796 142836 150624 166642 175728 190448 214254 249963 263592 285672 333284 351456 380896 428508 499926 527184 571344 666568 749889 857016 999852 1054368 1142688 1333136 1499778 1714032 1999704 2666272 2999556 3428064 3999408 5999112 6225269 7998816 11998224 12450538 18675807 23996448 24901076 37351614 43576883 49802152 56027421 74703228 87153766 99604304 112054842 130730649 149406456 174307532 199208608 224109684 261461298 298812912 348615064 392191947 448219368 522922596 597625824 697230128 784383894 896438736 1045845192 1394460256 1568767788 1792877472 2091690384 3137535576 4183380768 6275071152 12550142304