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48685994676225 = 32524651692
BaseRepresentation
bin10110001000111100101110…
…11010110001000000000001
320101101100001200022122111100
423010132113122301000001
522340132404114114400
6251314012011005013
713153306222435614
oct1304362732610001
9211340050278440
1048685994676225
1114570683831955
125563809139769
1321220b9ba470a
14c045b3d9c17b
1559667b404100
hex2c47976b1001

48685994676225 has 27 divisors (see below), whose sum is σ = 87202213483593. Its totient is φ = 25965808007040.

The previous prime is 48685994676223. The next prime is 48685994676229. The reversal of 48685994676225 is 52267649958684.

The square root of 48685994676225 is 6977535.

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

48685994676225 is a `hidden beast` number, since 4 + 8 + 6 + 8 + 5 + 99 + 467 + 62 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1391930399601 + 47294064276624 = 1179801^2 + 6877068^2 .

It is not a de Polignac number, because 48685994676225 - 21 = 48685994676223 is a prime.

It is a super-2 number, since 2×486859946762252 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48685994676223) 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 26 ways as a sum of consecutive naturals, for example, 104430441 + ... + 104895609.

Almost surely, 248685994676225 is an apocalyptic number.

48685994676225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48685994676225 is the 6977535-th square number.

48685994676225 is the 3488768-th centered octagonal number.

It is an amenable number.

48685994676225 is a deficient number, since it is larger than the sum of its proper divisors (38516218807368).

48685994676225 is an frugal number, since it uses more digits than its factorization.

48685994676225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930354 (or 465177 counting only the distinct ones).

The product of its digits is 12541132800, while the sum is 81.

The spelling of 48685994676225 in words is "forty-eight trillion, six hundred eighty-five billion, nine hundred ninety-four million, six hundred seventy-six thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 465169 1395507 2325845 4186521 6977535 11629225 20932605 34887675 104663025 216382198561 649146595683 1081910992805 1947439787049 3245732978415 5409554964025 9737198935245 16228664892075 48685994676225