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199132815049 = 7613012
BaseRepresentation
bin1011100101110100111…
…1011001111011001001
3201000222220112010101021
42321131033121323021
511230311000040144
6231251431152441
720246461000000
oct2713517317311
9630886463337
10199132815049
11774a7312323
1232715215721
1315a16774b9c
1498d0c67c37
1552a727a884
hex2e5d3d9ec9

199132815049 has 21 divisors (see below), whose sum is σ = 232500044071. Its totient is φ = 170554074600.

The previous prime is 199132815031. The next prime is 199132815053. The reversal of 199132815049 is 940518231991.

The square root of 199132815049 is 446243.

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., 306005049 + 198826810000 = 17493^2 + 445900^2 .

It is not a de Polignac number, because 199132815049 - 215 = 199132782281 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 199132814987 and 199132815005.

It is not an unprimeable number, because it can be changed into a prime (199132815029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 153060699 + ... + 153061999.

Almost surely, 2199132815049 is an apocalyptic number.

199132815049 is the 446243-rd square number.

199132815049 is the 223122-nd centered octagonal number.

It is an amenable number.

199132815049 is a deficient number, since it is larger than the sum of its proper divisors (33367229022).

199132815049 is an frugal number, since it uses more digits than its factorization.

199132815049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 52.

The spelling of 199132815049 in words is "one hundred ninety-nine billion, one hundred thirty-two million, eight hundred fifteen thousand, forty-nine".

Divisors: 1 7 49 343 1301 2401 9107 16807 63749 117649 446243 1692601 3123701 11848207 21865907 82937449 153061349 580562143 4063935001 28447545007 199132815049