Search a number
-
+
4778202105 = 325106182269
BaseRepresentation
bin1000111001100110…
…11001001111111001
3110100000000211001100
410130303121033321
534241204431410
62110045242013
7226260022245
oct43463311771
913300024040
104778202105
112032196a66
12b14263309
135b1c11a31
14334847425
151ce7438c0
hex11ccd93f9

4778202105 has 12 divisors (see below), whose sum is σ = 8282217060. Its totient is φ = 2548374432.

The previous prime is 4778202067. The next prime is 4778202127. The reversal of 4778202105 is 5012028774.

4778202105 is a `hidden beast` number, since 477 + 82 + 0 + 2 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3268180224 + 1510021881 = 57168^2 + 38859^2 .

It is not a de Polignac number, because 4778202105 - 226 = 4711093241 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4778202105.

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 11 ways as a sum of consecutive naturals, for example, 53091090 + ... + 53091179.

It is an arithmetic number, because the mean of its divisors is an integer number (690184755).

Almost surely, 24778202105 is an apocalyptic number.

4778202105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4778202105 is a deficient number, since it is larger than the sum of its proper divisors (3504014955).

4778202105 is a wasteful number, since it uses less digits than its factorization.

4778202105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106182280 (or 106182277 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 4778202105 is about 69124.5405409685. The cubic root of 4778202105 is about 1684.3079754160.

The spelling of 4778202105 in words is "four billion, seven hundred seventy-eight million, two hundred two thousand, one hundred five".

Divisors: 1 3 5 9 15 45 106182269 318546807 530911345 955640421 1592734035 4778202105