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12093736536025 = 5217216322512
BaseRepresentation
bin1010111111111100101011…
…0111101100011111011001
31120211011001021220111201221
42233333022313230133121
53041120433023123100
641415441425212041
72355513031303054
oct257771267543731
946734037814657
1012093736536025
113942a19a9a7a1
121433a1ba91021
13699585688711
142db4a8c4ba9b
1515e8bc32e01a
hexaffcadec7d9

12093736536025 has 81 divisors (see below), whose sum is σ = 16092699287133. Its totient is φ = 9013952160000.

The previous prime is 12093736536017. The next prime is 12093736536043. The reversal of 12093736536025 is 52063563739021.

The square root of 12093736536025 is 3477605.

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 282884633161 + 11810851902864 = 531869^2 + 3436692^2 .

It is not a de Polignac number, because 12093736536025 - 23 = 12093736536017 is a prime.

It is a super-2 number, since 2×120937365360252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

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, 48182217150 + ... + 48182217400.

Almost surely, 212093736536025 is an apocalyptic number.

12093736536025 is the 3477605-th square number.

12093736536025 is the 1738803-rd centered octagonal number.

It is an amenable number.

12093736536025 is a deficient number, since it is larger than the sum of its proper divisors (3998962751108).

12093736536025 is an frugal number, since it uses more digits than its factorization.

12093736536025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 52.

The spelling of 12093736536025 in words is "twelve trillion, ninety-three billion, seven hundred thirty-six million, five hundred thirty-six thousand, twenty-five".

Divisors: 1 5 17 25 85 163 251 289 425 815 1255 1445 2771 4075 4267 6275 7225 13855 21335 26569 40913 47107 63001 69275 72539 106675 132845 204565 235535 315005 362695 451673 664225 695521 1022825 1071017 1177675 1575025 1813475 2258365 3477605 5355085 6668819 7678441 10269163 11291825 11823857 17388025 18207289 26775425 33344095 38392205 51345815 59119285 91036445 113369923 166720475 174575771 191961025 256729075 295596425 455182225 566849615 872878855 1673873569 1927288691 2834248075 2967788107 4364394275 8369367845 9636443455 14838940535 28455850673 41846839225 48182217275 74194702675 142279253365 483749461441 711396266825 2418747307205 12093736536025