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266302442025 = 3252344032
BaseRepresentation
bin1111100000000011011…
…1001100101000101001
3221110101002000201101100
43320000313030220221
513330341411121100
6322200533312013
725145136260154
oct3700067145051
9843332021340
10266302442025
11a2a35871234
1243740195609
131c15c6b95a9
14cc639d0c9b
156dd9152400
hex3e00dcca29

266302442025 has 27 divisors (see below), whose sum is σ = 476991127639. Its totient is φ = 142023840720.

The previous prime is 266302442023. The next prime is 266302442053. The reversal of 266302442025 is 520244203662.

The square root of 266302442025 is 516045.

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

It can be written as a sum of positive squares in only one way, i.e., 95868879129 + 170433562896 = 309627^2 + 412836^2 .

It is not a de Polignac number, because 266302442025 - 21 = 266302442023 is a prime.

It is a super-2 number, since 2×2663024420252 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (266302442023) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 7723474 + ... + 7757876.

Almost surely, 2266302442025 is an apocalyptic number.

266302442025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

266302442025 is the 516045-th square number.

266302442025 is the 258023-rd centered octagonal number.

It is an amenable number.

266302442025 is a deficient number, since it is larger than the sum of its proper divisors (210688685614).

266302442025 is an frugal number, since it uses more digits than its factorization.

266302442025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68822 (or 34411 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Multiplying 266302442025 by its sum of digits (36), we get a square (9586887912900 = 30962702).

Adding to 266302442025 its reverse (520244203662), we get a palindrome (786546645687).

The spelling of 266302442025 in words is "two hundred sixty-six billion, three hundred two million, four hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 34403 103209 172015 309627 516045 860075 1548135 2580225 7740675 1183566409 3550699227 5917832045 10652097681 17753496135 29589160225 53260488405 88767480675 266302442025