Search a number
-
+
16168408131 = 3196126317681
BaseRepresentation
bin11110000111011011…
…00101010001000011
31112201210201020022210
433003231211101003
5231103103030011
611232213033203
71111445126061
oct170355452103
945653636283
1016168408131
116947710377
123172925803
1316a892bb05
14ad548d031
156496ae6a6
hex3c3b65443

16168408131 has 32 divisors (see below), whose sum is σ = 23153518080. Its totient is φ = 10005465600.

The previous prime is 16168408129. The next prime is 16168408159. The reversal of 16168408131 is 13180486161.

16168408131 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 16168408131 - 21 = 16168408129 is a prime.

It is a super-2 number, since 2×161684081312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16168408131.

It is not an unprimeable number, because it can be changed into a prime (16168408121) 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 31 ways as a sum of consecutive naturals, for example, 905611 + ... + 923291.

It is an arithmetic number, because the mean of its divisors is an integer number (723547440).

Almost surely, 216168408131 is an apocalyptic number.

16168408131 is a deficient number, since it is larger than the sum of its proper divisors (6985109949).

16168408131 is a wasteful number, since it uses less digits than its factorization.

16168408131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18027.

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 16168408131 in words is "sixteen billion, one hundred sixty-eight million, four hundred eight thousand, one hundred thirty-one".

Divisors: 1 3 19 57 61 183 263 789 1159 3477 4997 14991 16043 17681 48129 53043 304817 335939 914451 1007817 1078541 3235623 4650103 13950309 20492279 61476837 88351957 265055871 283656283 850968849 5389469377 16168408131