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115595240049 = 3437210212
BaseRepresentation
bin110101110101000000…
…0110110001001110001
3102001101000211121210000
41223222000312021301
53343214340140144
6125034223100213
711231362220442
oct1535200661161
9361330747700
10115595240049
1145029554843
121a4a0741669
13ab92778933
14584834d2c9
15301842b769
hex1aea036271

115595240049 has 45 divisors (see below), whose sum is σ = 177646445361. Its totient is φ = 74907257760.

The previous prime is 115595240029. The next prime is 115595240077. The reversal of 115595240049 is 940042595511.

The square root of 115595240049 is 339993.

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

115595240049 is a `hidden beast` number, since 1 + 1 + 559 + 52 + 4 + 0 + 0 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30312551025 + 85282689024 = 174105^2 + 292032^2 .

It is not a de Polignac number, because 115595240049 - 217 = 115595108977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 115595239986 and 115595240013.

It is not an unprimeable number, because it can be changed into a prime (115595240029) 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 44 ways as a sum of consecutive naturals, for example, 113217159 + ... + 113218179.

Almost surely, 2115595240049 is an apocalyptic number.

115595240049 is the 339993-rd square number.

115595240049 is the 169997-th centered octagonal number.

It is an amenable number.

115595240049 is a deficient number, since it is larger than the sum of its proper divisors (62051205312).

115595240049 is an frugal number, since it uses more digits than its factorization.

115595240049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 115595240049 in words is "one hundred fifteen billion, five hundred ninety-five million, two hundred forty thousand, forty-nine".

Divisors: 1 3 9 27 37 81 111 333 999 1021 1369 2997 3063 4107 9189 12321 27567 36963 37777 82701 110889 113331 339993 1019979 1042441 1397749 3059937 3127323 4193247 9381969 12579741 28145907 37739223 38570317 84437721 113217669 115710951 347132853 1041398559 1427101729 3124195677 4281305187 12843915561 38531746683 115595240049