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11292488823 = 3711193182997
BaseRepresentation
bin10101000010001010…
…11011010001110111
31002010222210212110210
422201011123101313
5141111334120243
65104313120503
7546560366640
oct124105332167
932128725423
1011292488823
114875351aa0
1222319b9133
1310ac6c5665
14791a8a6c7
154615b7933
hex2a115b477

11292488823 has 64 divisors (see below), whose sum is σ = 20397588480. Its totient is φ = 5378140800.

The previous prime is 11292488797. The next prime is 11292488827. The reversal of 11292488823 is 32888429211.

11292488823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11292488823 - 218 = 11292226679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11292488827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94561 + ... + 177557.

It is an arithmetic number, because the mean of its divisors is an integer number (318712320).

Almost surely, 211292488823 is an apocalyptic number.

11292488823 is a deficient number, since it is larger than the sum of its proper divisors (9105099657).

11292488823 is a wasteful number, since it uses less digits than its factorization.

11292488823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83068.

The product of its digits is 442368, while the sum is 48.

The spelling of 11292488823 in words is "eleven billion, two hundred ninety-two million, four hundred eighty-eight thousand, eight hundred twenty-three".

Divisors: 1 3 7 11 19 21 31 33 57 77 93 133 209 217 231 341 399 589 627 651 1023 1463 1767 2387 4123 4389 6479 7161 12369 19437 45353 82997 136059 248991 580979 912967 1576943 1742937 2572907 2738901 4730829 6390769 7718721 11038601 17346373 18010349 19172307 28301977 33115803 48885233 52039119 54031047 84905931 121424611 146655699 198113839 342196631 364273833 537737563 594341517 1026589893 1613212689 3764162941 11292488823