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12662155044 = 223271129157513
BaseRepresentation
bin10111100101011100…
…10010011100100100
31012200110002010022100
423302232102130210
5201413002430134
65452241532100
7625531353630
oct136256223444
935613063270
1012662155044
115408502550
122554644030
13126a3b3246
14881943dc0
154e1969999
hex2f2b92724

12662155044 has 144 divisors (see below), whose sum is σ = 41281269120. Its totient is φ = 3175441920.

The previous prime is 12662155043. The next prime is 12662155061. The reversal of 12662155044 is 44055126621.

12662155044 is a `hidden beast` number, since 1 + 2 + 6 + 62 + 1 + 550 + 44 = 666.

12662155044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12662155043) 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 47 ways as a sum of consecutive naturals, for example, 1632 + ... + 159144.

It is an arithmetic number, because the mean of its divisors is an integer number (286675480).

Almost surely, 212662155044 is an apocalyptic number.

12662155044 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 12662155044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20640634560).

12662155044 is an abundant number, since it is smaller than the sum of its proper divisors (28619114076).

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

12662155044 is a wasteful number, since it uses less digits than its factorization.

12662155044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157570 (or 157565 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 12662155044 in words is "twelve billion, six hundred sixty-two million, one hundred fifty-five thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 29 33 36 42 44 58 63 66 77 84 87 99 116 126 132 154 174 198 203 231 252 261 308 319 348 396 406 462 522 609 638 693 812 924 957 1044 1218 1276 1386 1827 1914 2233 2436 2772 2871 3654 3828 4466 5742 6699 7308 8932 11484 13398 20097 26796 40194 80388 157513 315026 472539 630052 945078 1102591 1417617 1732643 1890156 2205182 2835234 3307773 3465286 4410364 4567877 5197929 5670468 6615546 6930572 9135754 9923319 10395858 12128501 13231092 13703631 15593787 18271508 19846638 20791716 24257002 27407262 31187574 31975139 36385503 39693276 41110893 48514004 50246647 54814524 62375148 63950278 72771006 82221786 95925417 100493294 109156509 127900556 145542012 150739941 164443572 191850834 200986588 218313018 287776251 301479882 351726529 383701668 436626036 452219823 575552502 602959764 703453058 904439646 1055179587 1151105004 1406906116 1808879292 2110359174 3165538761 4220718348 6331077522 12662155044