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18344474472025 = 5213213125032
BaseRepresentation
bin1000010101111001001111…
…11000100110111001011001
32101221201021222002221122101
410022330213320212321121
54401023440431101100
6103003200224323401
73602226115146022
oct412744770467131
971851258087571
1018344474472025
115932936666659
122083347473561
13a30b51939a00
14475c3d45dc49
1521c2adc9886a
hex10af27e26e59

18344474472025 has 81 divisors (see below), whose sum is σ = 24870433752957. Its totient is φ = 13416552801600.

The previous prime is 18344474472017. The next prime is 18344474472041. The reversal of 18344474472025 is 52027447444381.

The square root of 18344474472025 is 4283045.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4728315431961 + 13616159040064 = 2174469^2 + 3690008^2 .

It is not a de Polignac number, because 18344474472025 - 23 = 18344474472017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36470127924 + ... + 36470128426.

Almost surely, 218344474472025 is an apocalyptic number.

18344474472025 is the 4283045-th square number.

18344474472025 is the 2141523-rd centered octagonal number.

It is an amenable number.

18344474472025 is a deficient number, since it is larger than the sum of its proper divisors (6525959280932).

18344474472025 is an frugal number, since it uses more digits than its factorization.

18344474472025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 55.

The spelling of 18344474472025 in words is "eighteen trillion, three hundred forty-four billion, four hundred seventy-four million, four hundred seventy-two thousand, twenty-five".

Divisors: 1 5 13 25 65 131 169 325 503 655 845 1703 2515 3275 4225 6539 8515 12575 17161 22139 32695 42575 65893 85007 85805 110695 163475 223093 253009 329465 425035 429025 553475 856609 1115465 1265045 1647325 2125175 2900209 3289117 4283045 5577325 6325225 8631983 11135917 14501045 16445585 21415225 33144179 42758521 43159915 55679585 72505225 82227925 112215779 165720895 213792605 215799575 278397925 430874327 561078895 828604475 1068963025 1458805127 2154371635 2805394475 4341887449 5601366251 7294025635 10771858175 21709437245 28006831255 36470128175 56444536837 108547186225 140034156275 282222684185 733778978881 1411113420925 3668894894405 18344474472025