Search a number
-
+
10799175069991 = 72111071373136379
BaseRepresentation
bin1001110100100110000011…
…1111100111000100100111
31102020101120002010012120201
42131021200333213010213
52403413202304214431
634545023400211331
72163133424351500
oct235114077470447
942211502105521
1010799175069991
1134939a487a680
121264b51a69b47
13604486233919
1429497bab9ba7
1513ada0ad6461
hex9d260fe7127

10799175069991 has 48 divisors (see below), whose sum is σ = 13842587456640. Its totient is φ = 8330164624320.

The previous prime is 10799175069979. The next prime is 10799175070039. The reversal of 10799175069991 is 19996057199701.

It is not a de Polignac number, because 10799175069991 - 221 = 10799172972839 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10799175069971) 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, 79116840 + ... + 79253218.

It is an arithmetic number, because the mean of its divisors is an integer number (288387238680).

Almost surely, 210799175069991 is an apocalyptic number.

10799175069991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10799175069991 is a deficient number, since it is larger than the sum of its proper divisors (3043412386649).

10799175069991 is a wasteful number, since it uses less digits than its factorization.

10799175069991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137884 (or 137877 counting only the distinct ones).

The product of its (nonzero) digits is 86802030, while the sum is 73.

The spelling of 10799175069991 in words is "ten trillion, seven hundred ninety-nine billion, one hundred seventy-five million, sixty-nine thousand, nine hundred ninety-one".

Divisors: 1 7 11 49 77 107 539 749 1177 1373 5243 8239 9611 15103 57673 67277 105721 136379 146911 740047 954653 1028377 1500169 1616021 6682571 7198639 10501183 11312147 14592553 73508281 79185029 102147871 160518083 187248367 715035097 1123626581 1310738569 2059732037 7865386067 9175169983 14418124259 20035575269 100926869813 140249026883 220391327959 981743188181 1542739295713 10799175069991