Search a number
-
+
10808979322887 = 3217196029616729
BaseRepresentation
bin1001110101001010100101…
…0111110111100000000111
31102021022212100112212011100
42131102221113313200013
52404043242201313022
634553324311311143
72163631404211254
oct235225127674007
942238770485140
1010808979322887
113498076046a19
121266a2937b4b3
136053894c57b5
1429522bc4642b
1513b2766ca1ac
hex9d4a95f7807

10808979322887 has 48 divisors (see below), whose sum is σ = 17404367292000. Its totient is φ = 6424075671552.

The previous prime is 10808979322873. The next prime is 10808979322907. The reversal of 10808979322887 is 78822397980801.

10808979322887 is a `hidden beast` number, since 1 + 0 + 80 + 89 + 79 + 322 + 8 + 87 = 666.

It is not a de Polignac number, because 10808979322887 - 27 = 10808979322759 is a prime.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10808979322387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17217939 + ... + 17834667.

It is an arithmetic number, because the mean of its divisors is an integer number (362590985250).

Almost surely, 210808979322887 is an apocalyptic number.

10808979322887 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10808979322887 is a deficient number, since it is larger than the sum of its proper divisors (6595387969113).

10808979322887 is a wasteful number, since it uses less digits than its factorization.

10808979322887 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622800 (or 622797 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 10808979322887 in words is "ten trillion, eight hundred eight billion, nine hundred seventy-nine million, three hundred twenty-two thousand, eight hundred eighty-seven".

Divisors: 1 3 9 17 19 51 57 153 171 323 969 2907 6029 18087 54261 102493 114551 307479 343653 616729 922437 1030959 1850187 1947367 5550561 5842101 10484393 11717851 17526303 31453179 35153553 94359537 105460659 199203467 597610401 1792831203 3718259141 11154777423 33464332269 63210405397 70646923679 189631216191 211940771037 568893648573 635822313111 1200997702543 3602993107629 10808979322887