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12966832384 = 281126472
BaseRepresentation
bin11000001001110001…
…00010100100000000
31020110200101100001021
430010320202210000
5203024002114014
65542404115224
7636221154022
oct140470424400
936420340037
1012966832384
115554491100
12261a695b14
1312b855acac
148b01b4012
1550d59e624
hex304e22900

12966832384 has 81 divisors (see below), whose sum is σ = 28493963491. Its totient is φ = 5884904960.

The previous prime is 12966832381. The next prime is 12966832421. The reversal of 12966832384 is 48323866921.

The square root of 12966832384 is 113872.

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

It is a super-2 number, since 2×129668323842 (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 (12966832381) 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, 20041149 + ... + 20041795.

Almost surely, 212966832384 is an apocalyptic number.

12966832384 is the 113872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12966832384

12966832384 is an abundant number, since it is smaller than the sum of its proper divisors (15527131107).

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

12966832384 is an frugal number, since it uses more digits than its factorization.

12966832384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 660 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 52.

The spelling of 12966832384 in words is "twelve billion, nine hundred sixty-six million, eight hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 647 704 968 1294 1408 1936 2588 2816 3872 5176 7117 7744 10352 14234 15488 20704 28468 30976 41408 56936 78287 82816 113872 156574 165632 227744 313148 418609 455488 626296 837218 910976 1252592 1674436 1821952 2505184 3348872 4604699 5010368 6697744 9209398 10020736 13395488 18418796 20041472 26790976 36837592 50651689 53581952 73675184 101303378 107163904 147350368 202606756 294700736 405213512 589401472 810427024 1178802944 1620854048 3241708096 6483416192 12966832384