Search a number
-
+
292313093994 = 232171405767957
BaseRepresentation
bin1000100000011110011…
…01111101011101101010
31000221111210122202001200
410100033031331131222
514242124123001434
6342141540025030
730055535205555
oct4201715753552
91027453582050
10292313093994
11102a73137019
124879b092176
132174641c50c
141021029969c
15790c90c199
hex440f37d76a

292313093994 has 48 divisors (see below), whose sum is σ = 670658201928. Its totient is φ = 91698195456.

The previous prime is 292313093993. The next prime is 292313094049. The reversal of 292313093994 is 499390313292.

It is a happy number.

292313093994 is a `hidden beast` number, since 292 + 313 + 0 + 9 + 39 + 9 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128567424969 + 163745669025 = 358563^2 + 404655^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 292313093994.

It is not an unprimeable number, because it can be changed into a prime (292313093993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4267464 + ... + 4335420.

Almost surely, 2292313093994 is an apocalyptic number.

292313093994 is an abundant number, since it is smaller than the sum of its proper divisors (378345107934).

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

292313093994 is a wasteful number, since it uses less digits than its factorization.

292313093994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82039 (or 82036 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 292313093994 in words is "two hundred ninety-two billion, three hundred thirteen million, ninety-three thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 14057 28114 42171 67957 84342 126513 135914 203871 238969 253026 407742 477938 611613 716907 1155269 1223226 1433814 2150721 2310538 3465807 4301442 6931614 10397421 20794842 955271549 1910543098 2865814647 5731629294 8597443941 16239616333 17194887882 32479232666 48718848999 97437697998 146156546997 292313093994