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12179486304 = 2532191221413
BaseRepresentation
bin10110101011111010…
…00011011001100000
31011102210212000021100
423111331003121200
5144420422030204
65332320354400
7610550632266
oct132575033140
934383760240
1012179486304
115190003367
12243aa75a00
1311c13b893b
148377c0436
154b43c6a39
hex2d5f43660

12179486304 has 72 divisors (see below), whose sum is σ = 34816908672. Its totient is φ = 4038554880.

The previous prime is 12179486303. The next prime is 12179486353. The reversal of 12179486304 is 40368497121.

12179486304 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 9 + 4 + 8 + 630 + 4 = 666.

12179486304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 12179486304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12179486303) 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 11 ways as a sum of consecutive naturals, for example, 55699 + ... + 165714.

It is an arithmetic number, because the mean of its divisors is an integer number (483568176).

Almost surely, 212179486304 is an apocalyptic number.

It is an amenable number.

12179486304 is an abundant number, since it is smaller than the sum of its proper divisors (22637422368).

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

12179486304 is a wasteful number, since it uses less digits than its factorization.

12179486304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221620 (or 221609 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 12179486304 in words is "twelve billion, one hundred seventy-nine million, four hundred eighty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 13752 18336 27504 55008 221413 442826 664239 885652 1328478 1771304 1992717 2656956 3542608 3985434 5313912 7085216 7970868 10627824 15941736 21255648 31883472 42289883 63766944 84579766 126869649 169159532 253739298 338319064 380608947 507478596 676638128 761217894 1014957192 1353276256 1522435788 2029914384 3044871576 4059828768 6089743152 12179486304