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12048574756 = 227127732
BaseRepresentation
bin10110011100010011…
…01010100100100100
31011002200112000101111
423032021222210210
5144133413343011
65311322434404
7604401124051
oct131611524444
934080460344
1012048574756
1151231195a9
122403062a04
1311a024129a
14824264028
154a7b68121
hex2ce26a924

12048574756 has 27 divisors (see below), whose sum is σ = 21413862673. Its totient is φ = 5931754640.

The previous prime is 12048574751. The next prime is 12048574777. The reversal of 12048574756 is 65747584021.

The square root of 12048574756 is 109766.

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

It can be written as a sum of positive squares in only one way, i.e., 766736100 + 11281838656 = 27690^2 + 106216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12048574751) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15586386 + ... + 15587158.

Almost surely, 212048574756 is an apocalyptic number.

12048574756 is the 109766-th square number.

It is an amenable number.

12048574756 is a deficient number, since it is larger than the sum of its proper divisors (9365287917).

12048574756 is an frugal number, since it uses more digits than its factorization.

12048574756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

Multiplying 12048574756 by its sum of digits (49), we get a square (590380163044 = 7683622).

The spelling of 12048574756 in words is "twelve billion, forty-eight million, five hundred seventy-four thousand, seven hundred fifty-six".

Divisors: 1 2 4 71 142 284 773 1546 3092 5041 10082 20164 54883 109766 219532 597529 1195058 2390116 3896693 7793386 15586772 42424559 84849118 169698236 3012143689 6024287378 12048574756