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12551145126 = 231323137223229
BaseRepresentation
bin10111011000001101…
…10100011010100110
31012101201012020022220
423230012310122212
5201201043121001
65433234333210
7623012654562
oct135406643246
935351166286
1012551145126
115360881113
12252342a206
1312503b62c0
14870cc86a2
154d6d3cc36
hex2ec1b46a6

12551145126 has 128 divisors (see below), whose sum is σ = 28666552320. Its totient is φ = 3634633728.

The previous prime is 12551145121. The next prime is 12551145133. The reversal of 12551145126 is 62154115521.

It is a happy number.

12551145126 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12551145121) 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 63 ways as a sum of consecutive naturals, for example, 54808380 + ... + 54808608.

It is an arithmetic number, because the mean of its divisors is an integer number (223957440).

Almost surely, 212551145126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12551145126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333276160).

12551145126 is an abundant number, since it is smaller than the sum of its proper divisors (16115407194).

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

12551145126 is a wasteful number, since it uses less digits than its factorization.

12551145126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630.

The product of its digits is 12000, while the sum is 33.

The spelling of 12551145126 in words is "twelve billion, five hundred fifty-one million, one hundred forty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 137 138 223 229 274 299 411 446 458 598 669 687 822 897 1338 1374 1781 1794 2899 2977 3151 3562 5129 5267 5343 5798 5954 6302 8697 8931 9453 10258 10534 10686 15387 15801 17394 17862 18906 30551 30774 31373 31602 40963 51067 61102 62746 66677 68471 81926 91653 94119 102134 122889 133354 136942 153201 183306 188238 200031 205413 245778 306402 397163 400062 407849 410826 663871 702673 721579 794326 815698 1174541 1191489 1223547 1327742 1405346 1443158 1991613 2108019 2164737 2349082 2382978 2447094 3523623 3983226 4216038 4329474 6996179 7047246 9134749 9380527 13992358 15269033 18269498 18761054 20988537 27404247 28141581 30538066 41977074 45807099 54808494 56283162 90950327 91614198 160912117 181900654 272850981 321824234 482736351 545701962 965472702 2091857521 4183715042 6275572563 12551145126