Search a number
-
+
16685260488 = 233213211712
BaseRepresentation
bin11111000101000010…
…01101111011001000
31121001211021001110200
433202201031323020
5233132411313423
611355355012200
71130322242211
oct174241157310
947054231420
1016685260488
117092438186
123297a3a060
13175ba34700
14b43d90408
15679c55d43
hex3e284dec8

16685260488 has 108 divisors (see below), whose sum is σ = 48974557905. Its totient is φ = 5129542080.

The previous prime is 16685260451. The next prime is 16685260489. The reversal of 16685260488 is 88406258661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

16685260488 is a `hidden beast` number, since 1 + 66 + 85 + 26 + 0 + 488 = 666.

16685260488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14266391364 + 2418869124 = 119442^2 + 49182^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=91338.

It is not an unprimeable number, because it can be changed into a prime (16685260489) 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 26 ways as a sum of consecutive naturals, for example, 14248143 + ... + 14249313.

Almost surely, 216685260488 is an apocalyptic number.

16685260488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16685260488

16685260488 is an abundant number, since it is smaller than the sum of its proper divisors (32289297417).

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

16685260488 is a wasteful number, since it uses less digits than its factorization.

16685260488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 16685260488 in words is "sixteen billion, six hundred eighty-five million, two hundred sixty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1171 1352 1521 2028 2342 3042 3513 4056 4684 6084 7026 9368 10539 12168 14052 15223 21078 28104 30446 42156 45669 60892 84312 91338 121784 137007 182676 197899 274014 365352 395798 548028 593697 791596 1096056 1187394 1371241 1583192 1781091 2374788 2742482 3562182 4113723 4749576 5484964 7124364 8227446 10969928 12341169 14248728 16454892 17826133 24682338 32909784 35652266 49364676 53478399 71304532 98729352 106956798 142609064 160435197 213913596 231739729 320870394 427827192 463479458 641740788 695219187 926958916 1283481576 1390438374 1853917832 2085657561 2780876748 4171315122 5561753496 8342630244 16685260488