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13699362600225 = 325244325572
BaseRepresentation
bin1100011101011010000110…
…1001000011010100100001
31210111122110010121122220100
43013112201221003110201
53243422243311201400
645045222244133013
72612513655540501
oct307264151032441
953448403548810
1013699362600225
11440195a056515
121653040997169
13784ac9063613
143550a4809a01
1518b5427d5100
hexc75a1a43521

13699362600225 has 81 divisors (see below), whose sum is σ = 24636825184153. Its totient is φ = 7276746210240.

The previous prime is 13699362600223. The next prime is 13699362600241. The reversal of 13699362600225 is 52200626399631.

It is a happy number.

The square root of 13699362600225 is 3701265.

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

13699362600225 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 9 + 3 + 6 + 2 + 600 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4710015446049 + 8989347154176 = 2170257^2 + 2998224^2 .

It is not a de Polignac number, because 13699362600225 - 21 = 13699362600223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13699362600223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24594905647 + ... + 24594906203.

Almost surely, 213699362600225 is an apocalyptic number.

13699362600225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13699362600225 is the 3701265-th square number.

13699362600225 is the 1850633-rd centered octagonal number.

It is an amenable number.

13699362600225 is a deficient number, since it is larger than the sum of its proper divisors (10937462583928).

13699362600225 is an frugal number, since it uses more digits than its factorization.

13699362600225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

Adding to 13699362600225 its reverse (52200626399631), we get a palindrome (65899988999856).

The spelling of 13699362600225 in words is "thirteen trillion, six hundred ninety-nine billion, three hundred sixty-two million, six hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 443 557 1329 1671 2215 2785 3987 5013 6645 8355 11075 13925 19935 25065 33225 41775 99675 125325 196249 246751 310249 588747 740253 930747 981245 1233755 1551245 1766241 2220759 2792241 2943735 3701265 4653735 4906225 6168775 7756225 8831205 11103795 13961205 14718675 18506325 23268675 44156025 55518975 69806025 109310693 137440307 327932079 412320921 546553465 687201535 983796237 1236962763 1639660395 2061604605 2732767325 3436007675 4918981185 6184813815 8198301975 10308023025 24594905925 30924069075 60886056001 182658168003 304430280005 547974504009 913290840015 1522151400025 2739872520045 4566454200075 13699362600225