Search a number
-
+
12169619856 = 24322923172
BaseRepresentation
bin10110101010101110…
…11010100110010000
31011102010021202001100
423111113122212100
5144410410313411
65331325104400
7610401030162
oct132527324620
934363252040
1012169619856
115185484579
1224376b8100
1311bc342ac4
14836372932
154b35c8456
hex2d55da990

12169619856 has 135 divisors (see below), whose sum is σ = 35384567491. Its totient is φ = 3904303872.

The previous prime is 12169619821. The next prime is 12169619899. The reversal of 12169619856 is 65891696121.

The square root of 12169619856 is 110316.

It is a perfect power (a square), and thus also a powerful number.

12169619856 is a `hidden beast` number, since 1 + 2 + 16 + 9 + 619 + 8 + 5 + 6 = 666.

12169619856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3027200400 + 9142419456 = 55020^2 + 95616^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 38389810 + ... + 38390126.

Almost surely, 212169619856 is an apocalyptic number.

12169619856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12169619856 is the 110316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12169619856

12169619856 is an abundant number, since it is smaller than the sum of its proper divisors (23214947635).

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

12169619856 is an equidigital number, since it uses as much as digits as its factorization.

12169619856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 351 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

It can be divided in two parts, 12169 and 619856, that added together give a square (632025 = 7952).

The spelling of 12169619856 in words is "twelve billion, one hundred sixty-nine million, six hundred nineteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 317 348 464 522 634 696 841 951 1044 1268 1392 1682 1902 2088 2523 2536 2853 3364 3804 4176 5046 5072 5706 6728 7569 7608 9193 10092 11412 13456 15138 15216 18386 20184 22824 27579 30276 36772 40368 45648 55158 60552 73544 82737 100489 110316 121104 147088 165474 200978 220632 266597 301467 330948 401956 441264 533194 602934 661896 799791 803912 904401 1066388 1205868 1323792 1599582 1607824 1808802 2132776 2399373 2411736 2914181 3199164 3617604 4265552 4798746 4823472 5828362 6398328 7235208 8742543 9597492 11656724 12796656 14470416 17485086 19194984 23313448 26227629 34970172 38389968 46626896 52455258 69940344 84511249 104910516 139880688 169022498 209821032 253533747 338044996 419642064 507067494 676089992 760601241 1014134988 1352179984 1521202482 2028269976 3042404964 4056539952 6084809928 12169619856