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27444560896 = 2103121672
BaseRepresentation
bin11001100011110100…
…101100010000000000
32121211122210010221101
4121203310230100000
5422201301422041
620335144104144
71661046630034
oct314364542000
977748703841
1027444560896
1110703814895
12539b165054
132784b2495c
141484cc61c4
15aa95ebb31
hex663d2c400

27444560896 has 99 divisors (see below), whose sum is σ = 57030650247. Its totient is φ = 13200107520.

The previous prime is 27444560873. The next prime is 27444560933. The reversal of 27444560896 is 69806544472.

The square root of 27444560896 is 165664.

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

It is a Duffinian number.

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, 164338605 + ... + 164338771.

Almost surely, 227444560896 is an apocalyptic number.

27444560896 is the 165664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27444560896

27444560896 is an abundant number, since it is smaller than the sum of its proper divisors (29586089351).

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

27444560896 is an frugal number, since it uses more digits than its factorization.

27444560896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 27444560896 in words is "twenty-seven billion, four hundred forty-four million, five hundred sixty thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 167 248 256 334 496 512 668 961 992 1024 1336 1922 1984 2672 3844 3968 5177 5344 7688 7936 10354 10688 15376 15872 20708 21376 27889 30752 31744 41416 42752 55778 61504 82832 85504 111556 123008 160487 165664 171008 223112 246016 320974 331328 446224 492032 641948 662656 864559 892448 984064 1283896 1325312 1729118 1784896 2567792 2650624 3458236 3569792 5135584 5301248 6916472 7139584 10271168 13832944 14279168 20542336 26801329 27665888 28558336 41084672 53602658 55331776 82169344 107205316 110663552 164338688 214410632 221327104 428821264 442654208 857642528 885308416 1715285056 3430570112 6861140224 13722280448 27444560896