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194528609821 = 72137314092969
BaseRepresentation
bin1011010100101011001…
…1110000011000011101
3200121010000220021011201
42311022303300120131
511141343311003241
6225210515115501
720024412621100
oct2651263603035
9617100807151
10194528609821
1175554368837
123184b2a2b91
13154619147b0
1495b5594737
1550d7e56931
hex2d4acf061d

194528609821 has 48 divisors (see below), whose sum is σ = 247292060400. Its totient is φ = 151645519872.

The previous prime is 194528609819. The next prime is 194528609839. The reversal of 194528609821 is 128906825491.

194528609821 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 8 ways, for example, as 110044792900 + 84483816921 = 331730^2 + 290661^2 .

It is not a de Polignac number, because 194528609821 - 21 = 194528609819 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194528609861) 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 47 ways as a sum of consecutive naturals, for example, 65518425 + ... + 65521393.

It is an arithmetic number, because the mean of its divisors is an integer number (5151917925).

Almost surely, 2194528609821 is an apocalyptic number.

It is an amenable number.

194528609821 is a deficient number, since it is larger than the sum of its proper divisors (52763450579).

194528609821 is a wasteful number, since it uses less digits than its factorization.

194528609821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4478 (or 4471 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 194528609821 in words is "one hundred ninety-four billion, five hundred twenty-eight million, six hundred nine thousand, eight hundred twenty-one".

Divisors: 1 7 13 49 73 91 511 637 949 1409 2969 3577 6643 9863 18317 20783 38597 46501 69041 102857 128219 145481 216737 270179 719999 897533 1337141 1517159 1891253 2817581 4183321 5039993 9359987 10620113 19723067 29283247 54383173 65519909 138061469 204982729 305382433 380682211 2137677031 2664775477 3969971629 14963739217 27789801403 194528609821