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12776911225 = 52132372472
BaseRepresentation
bin10111110011001000…
…00011000101111001
31012222110000100012021
423321210003011321
5202131342124400
65511501314441
7631423645021
oct137144030571
935873010167
1012776911225
115467262571
122586b65a21
1312880c2400
14892c96a81
154eba8671a
hex2f9903179

12776911225 has 81 divisors (see below), whose sum is σ = 18015173127. Its totient is φ = 8984926080.

The previous prime is 12776911201. The next prime is 12776911261. The reversal of 12776911225 is 52211967721.

The square root of 12776911225 is 113035.

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

12776911225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 7373485161 + 5403426064 = 85869^2 + 73508^2 .

It is not a de Polignac number, because 12776911225 - 211 = 12776909177 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 271849152 + ... + 271849198.

Almost surely, 212776911225 is an apocalyptic number.

12776911225 is the 113035-th square number.

12776911225 is the 56518-th centered octagonal number.

It is an amenable number.

12776911225 is a deficient number, since it is larger than the sum of its proper divisors (5238261902).

12776911225 is an equidigital number, since it uses as much as digits as its factorization.

12776911225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its digits is 105840, while the sum is 43.

The spelling of 12776911225 in words is "twelve billion, seven hundred seventy-six million, nine hundred eleven thousand, two hundred twenty-five".

Divisors: 1 5 13 25 37 47 65 169 185 235 325 481 611 845 925 1175 1369 1739 2209 2405 3055 4225 6253 6845 7943 8695 11045 12025 15275 17797 22607 28717 31265 34225 39715 43475 55225 64343 81733 88985 113035 143585 156325 198575 231361 293891 321715 373321 408665 444925 565175 717925 836459 1062529 1156805 1469455 1608575 1866605 2043325 3024121 4182295 5312645 5784025 7347275 9333025 10873967 13812877 15120605 20911475 26563225 39313573 54369835 69064385 75603025 196567865 271849175 345321925 511076449 982839325 2555382245 12776911225