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194939771364 = 223413214121617
BaseRepresentation
bin1011010110001101010…
…0001101100111100100
3200122011200120102210000
42311203110031213210
511143214040140424
6225315403501300
720040534500562
oct2654324154744
9618150512700
10194939771364
1175745467568
1231944b27830
13154c8b63550
149614022a32
15510e0c23c9
hex2d6350d9e4

194939771364 has 120 divisors (see below), whose sum is σ = 549093654648. Its totient is φ = 59950679040.

The previous prime is 194939771309. The next prime is 194939771399. The reversal of 194939771364 is 463177939491.

194939771364 is a `hidden beast` number, since 1 + 9 + 493 + 9 + 7 + 7 + 136 + 4 = 666.

194939771364 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 4 ways, for example, as 17833465764 + 177106305600 = 133542^2 + 420840^2 .

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 9007084 + ... + 9028700.

Almost surely, 2194939771364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194939771364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274546827324).

194939771364 is an abundant number, since it is smaller than the sum of its proper divisors (354153883284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

194939771364 is a wasteful number, since it uses less digits than its factorization.

194939771364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23787 (or 23776 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 194939771364 in words is "one hundred ninety-four billion, nine hundred thirty-nine million, seven hundred seventy-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 2141 4212 4282 6423 8564 12846 19269 21617 25692 27833 38538 43234 55666 57807 64851 77076 83499 86468 111332 115614 129702 166998 173421 194553 231228 250497 259404 281021 333996 346842 389106 500994 562042 583659 693684 751491 778212 843063 1001988 1124084 1167318 1502982 1686126 1750977 2254473 2334636 2529189 3005964 3372252 3501954 4508946 5058378 7003908 7587567 9017892 10116756 15175134 22762701 30350268 45525402 46281997 91050804 92563994 138845991 185127988 277691982 416537973 555383964 601665961 833075946 1203331922 1249613919 1666151892 1804997883 2406663844 2499227838 3609995766 3748841757 4998455676 5414993649 7219991532 7497683514 10829987298 14995367028 16244980947 21659974596 32489961894 48734942841 64979923788 97469885682 194939771364