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12740991376 = 24282192
BaseRepresentation
bin10111101110110110…
…00001100110010000
31012212221102102102111
423313123001212100
5202043143211001
65504135355104
7630506432311
oct136733014620
935787372374
1012740991376
115448a59443
122576b22a94
131280826a69
1488c1c6608
154e883d851
hex2f76c1990

12740991376 has 15 divisors (see below), whose sum is σ = 24686545611. Its totient is φ = 6370269936.

The previous prime is 12740991353. The next prime is 12740991379. The reversal of 12740991376 is 67319904721.

The square root of 12740991376 is 112876.

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

12740991376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×127409913762 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12740991379) 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 2 ways as a sum of consecutive naturals, for example, 437395 + ... + 465613.

Almost surely, 212740991376 is an apocalyptic number.

12740991376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12740991376 is the 112876-th square number.

It is an amenable number.

12740991376 is a deficient number, since it is larger than the sum of its proper divisors (11945554235).

12740991376 is an frugal number, since it uses more digits than its factorization.

12740991376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56446 (or 28221 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

Multiplying 12740991376 by its sum of digits (49), we get a square (624308577424 = 7901322).

The spelling of 12740991376 in words is "twelve billion, seven hundred forty million, nine hundred ninety-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 28219 56438 112876 225752 451504 796311961 1592623922 3185247844 6370495688 12740991376