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27025716025 = 5274112612
BaseRepresentation
bin11001001010110110…
…111011001100111001
32120202110122121210101
4121022312323030321
5420322040403100
620225422515401
71644502540000
oct311266731471
976673577711
1027025716025
1110509348500
1252a2a35b61
132719115959
141445417c37
15a8296486a
hex64adbb339

27025716025 has 135 divisors (see below), whose sum is σ = 43688062509. Its totient is φ = 16571016000.

The previous prime is 27025716023. The next prime is 27025716031. The reversal of 27025716025 is 52061752072.

The square root of 27025716025 is 164395.

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 12448534329 + 14577181696 = 111573^2 + 120736^2 .

It is not a de Polignac number, because 27025716025 - 21 = 27025716023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27025716023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 443044495 + ... + 443044555.

Almost surely, 227025716025 is an apocalyptic number.

27025716025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

27025716025 is the 164395-th square number.

27025716025 is the 82198-th centered octagonal number.

It is an amenable number.

27025716025 is a deficient number, since it is larger than the sum of its proper divisors (16662346484).

27025716025 is an frugal number, since it uses more digits than its factorization.

27025716025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 27025716025 in words is "twenty-seven billion, twenty-five million, seven hundred sixteen thousand, twenty-five".

Divisors: 1 5 7 11 25 35 49 55 61 77 121 175 245 275 305 343 385 427 539 605 671 847 1225 1525 1715 1925 2135 2401 2695 2989 3025 3355 3721 3773 4235 4697 5929 7381 8575 10675 12005 13475 14945 16775 18605 18865 20923 21175 23485 26047 26411 29645 32879 36905 40931 41503 51667 60025 74725 93025 94325 104615 117425 130235 132055 146461 148225 164395 182329 184525 204655 207515 230153 258335 286517 290521 361669 450241 523075 651175 660275 732305 821975 911645 1023275 1037575 1150765 1276303 1291675 1432585 1452605 1611071 1808345 2005619 2251205 2531683 3151687 3661525 4558225 5753825 6381515 7162925 7263025 8055355 8934121 9041725 10028095 11256025 12658415 14039333 15758435 17721781 22061809 31907575 40276775 44670605 50140475 63292075 70196665 78792175 88608905 98275331 110309045 154432663 223353025 350983325 443044525 491376655 551545225 772163315 1081028641 2456883275 3860816575 5405143205 27025716025