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18128737449 = 3237212132
BaseRepresentation
bin10000111000100011…
…101001010010101001
31201210102102021121100
4100320203221102221
5244111424044244
612154521432013
71211150503644
oct207043512251
951712367540
1018128737449
117763221849
12361b33b609
13192bac64a4
14c3d97ca5b
15711837b69
hex4388e94a9

18128737449 has 27 divisors (see below), whose sum is σ = 26935015653. Its totient is φ = 11749486752.

The previous prime is 18128737447. The next prime is 18128737519. The reversal of 18128737449 is 94473782181.

The square root of 18128737449 is 134643.

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

18128737449 is a `hidden beast` number, since 1 + 8 + 128 + 73 + 7 + 449 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 290463849 + 17838273600 = 17043^2 + 133560^2 .

It is not a de Polignac number, because 18128737449 - 21 = 18128737447 is a prime.

It is a super-2 number, since 2×181287374492 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18128737395 and 18128737404.

It is not an unprimeable number, because it can be changed into a prime (18128737447) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14944767 + ... + 14945979.

Almost surely, 218128737449 is an apocalyptic number.

18128737449 is the 134643-rd square number.

18128737449 is the 67322-nd centered octagonal number.

It is an amenable number.

18128737449 is a deficient number, since it is larger than the sum of its proper divisors (8806278204).

18128737449 is an frugal number, since it uses more digits than its factorization.

18128737449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 1253 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 18128737449 in words is "eighteen billion, one hundred twenty-eight million, seven hundred thirty-seven thousand, four hundred forty-nine".

Divisors: 1 3 9 37 111 333 1213 1369 3639 4107 10917 12321 44881 134643 403929 1471369 1660597 4414107 4981791 13242321 14945373 54440653 163321959 489965877 2014304161 6042912483 18128737449