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12348543376 = 2413221372
BaseRepresentation
bin10111000000000011…
…11101000110010000
31011212120221222222101
423200001331012100
5200242211342001
65401200050144
7615002613121
oct134001750620
934776858871
1012348543376
115267481454
122487603954
13121a42aa00
1485202a048
154c416ca01
hex2e007d190

12348543376 has 45 divisors (see below), whose sum is σ = 25919409411. Its totient is φ = 5696660736.

The previous prime is 12348543353. The next prime is 12348543377. The reversal of 12348543376 is 67334584321.

The square root of 12348543376 is 111124.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8303583376 + 4044960000 = 91124^2 + 63600^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12348543377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5777380 + ... + 5779516.

Almost surely, 212348543376 is an apocalyptic number.

12348543376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12348543376 is the 111124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12348543376

12348543376 is an abundant number, since it is smaller than the sum of its proper divisors (13570866035).

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

12348543376 is an frugal number, since it uses more digits than its factorization.

12348543376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 2152 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The spelling of 12348543376 in words is "twelve billion, three hundred forty-eight million, five hundred forty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2137 2704 4274 8548 17096 27781 34192 55562 111124 222248 361153 444496 722306 1444612 2889224 4566769 5778448 9133538 18267076 36534152 59367997 73068304 118735994 237471988 474943976 771783961 949887952 1543567922 3087135844 6174271688 12348543376