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194508342961 = 172259432
BaseRepresentation
bin1011010100100110011…
…0011100011010110001
3200121001121202121021021
42311021212130122301
511141323113433321
6225204512455441
720024045431042
oct2651146343261
9617047677237
10194508342961
1175543985a69
123184454a581
131545a669a7a
1495b29da8c9
1550d62a1941
hex2d4999c6b1

194508342961 has 9 divisors (see below), whose sum is σ = 206631014251. Its totient is φ = 183059619232.

The previous prime is 194508342947. The next prime is 194508342979. The reversal of 194508342961 is 169243805491.

The square root of 194508342961 is 441031.

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

194508342961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 151433831025 + 43074511936 = 389145^2 + 207544^2 .

It is not a de Polignac number, because 194508342961 - 25 = 194508342929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 194508342899 and 194508342908.

It is not an unprimeable number, because it can be changed into a prime (194508342461) 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 8 ways as a sum of consecutive naturals, for example, 7484556 + ... + 7510498.

Almost surely, 2194508342961 is an apocalyptic number.

194508342961 is the 441031-st square number.

194508342961 is the 220516-th centered octagonal number.

It is an amenable number.

194508342961 is a deficient number, since it is larger than the sum of its proper divisors (12122671290).

194508342961 is an frugal number, since it uses more digits than its factorization.

194508342961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51920 (or 25960 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 194508342961 in words is "one hundred ninety-four billion, five hundred eight million, three hundred forty-two thousand, nine hundred sixty-one".

Divisors: 1 17 289 25943 441031 7497527 673039249 11441667233 194508342961