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193884344329 = 132338712
BaseRepresentation
bin1011010010010001101…
…0000101000000001001
3200112110010121012001211
42310210122011000021
511134033343004304
6225022542213121
720002430510044
oct2644432050011
9615403535054
10193884344329
1175253726615
12316ab5841a1
131538b2baa00
149553ba7c5b
15509b5e3204
hex2d24685009

193884344329 has 9 divisors (see below), whose sum is σ = 209951967879. Its totient is φ = 178964880120.

The previous prime is 193884344239. The next prime is 193884344341. The reversal of 193884344329 is 923443488391.

The square root of 193884344329 is 440323.

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., 28681116025 + 165203228304 = 169355^2 + 406452^2 .

It is not a de Polignac number, because 193884344329 - 227 = 193750126601 is a prime.

It is a super-2 number, since 2×1938843443292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (193884345329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5707264 + ... + 5741134.

It is an arithmetic number, because the mean of its divisors is an integer number (23327996431).

Almost surely, 2193884344329 is an apocalyptic number.

193884344329 is the 440323-rd square number.

193884344329 is the 220162-nd centered octagonal number.

It is an amenable number.

193884344329 is a deficient number, since it is larger than the sum of its proper divisors (16067623550).

193884344329 is an frugal number, since it uses more digits than its factorization.

193884344329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67768 (or 33884 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 58.

The spelling of 193884344329 in words is "one hundred ninety-three billion, eight hundred eighty-four million, three hundred forty-four thousand, three hundred twenty-nine".

Divisors: 1 13 169 33871 440323 5724199 1147244641 14914180333 193884344329