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11982367296 = 263245612
BaseRepresentation
bin10110010100011010…
…00110101001000000
31010221001221022211100
423022031012221000
5144014441223141
65300555414400
7602635304304
oct131215065100
933831838740
1011982367296
115099808999
1223a4a54400
13118c5cca83
1481954bd04
154a1e3b0b6
hex2ca346a40

11982367296 has 63 divisors (see below), whose sum is σ = 34352824233. Its totient is φ = 3993246720.

The previous prime is 11982367283. The next prime is 11982367303. The reversal of 11982367296 is 69276328911.

The square root of 11982367296 is 109464.

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

11982367296 is a `hidden beast` number, since 1 + 198 + 2 + 367 + 2 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4011448896 + 7970918400 = 63336^2 + 89280^2 .

It is an unprimeable number.

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, 2624856 + ... + 2629416.

Almost surely, 211982367296 is an apocalyptic number.

11982367296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11982367296 is the 109464-th square number.

It is an amenable number.

11982367296 is an abundant number, since it is smaller than the sum of its proper divisors (22370456937).

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

11982367296 is an frugal number, since it uses more digits than its factorization.

11982367296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9140 (or 4566 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 11982367296 in words is "eleven billion, nine hundred eighty-two million, three hundred sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4561 9122 13683 18244 27366 36488 41049 54732 72976 82098 109464 145952 164196 218928 291904 328392 437856 656784 875712 1313568 2627136 20802721 41605442 62408163 83210884 124816326 166421768 187224489 249632652 332843536 374448978 499265304 665687072 748897956 998530608 1331374144 1497795912 1997061216 2995591824 3994122432 5991183648 11982367296