Search a number
-
+
16424342397 = 3241893491433
BaseRepresentation
bin11110100101111011…
…11001001101111101
31120101122022001010200
433102331321031331
5232114112424042
611313434354113
71121003415111
oct172275711575
946348261120
1016424342397
116a691275a1
12322458b939
13171996b5c8
14b1b471741
15661db6c4c
hex3d2f7937d

16424342397 has 48 divisors (see below), whose sum is σ = 24663366000. Its totient is φ = 10524856320.

The previous prime is 16424342383. The next prime is 16424342411. The reversal of 16424342397 is 79324342461.

16424342397 is a `hidden beast` number, since 16 + 4 + 243 + 4 + 2 + 397 = 666.

It is an interprime number because it is at equal distance from previous prime (16424342383) and next prime (16424342411).

It can be written as a sum of positive squares in 8 ways, for example, as 349652601 + 16074689796 = 18699^2 + 126786^2 .

It is not a de Polignac number, because 16424342397 - 219 = 16423818109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16424342317) 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, 11460793 + ... + 11462225.

It is an arithmetic number, because the mean of its divisors is an integer number (513820125).

Almost surely, 216424342397 is an apocalyptic number.

It is an amenable number.

16424342397 is a deficient number, since it is larger than the sum of its proper divisors (8239023603).

16424342397 is a wasteful number, since it uses less digits than its factorization.

16424342397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1915 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 16424342397 in words is "sixteen billion, four hundred twenty-four million, three hundred forty-two thousand, three hundred ninety-seven".

Divisors: 1 3 9 41 89 123 267 349 369 801 1047 1433 3141 3649 4299 10947 12897 14309 31061 32841 42927 58753 93183 127537 128781 176259 279549 382611 500117 528777 1147833 1273501 1500351 3820503 4501053 5229017 11461509 15687051 20504797 44510413 47061153 61514391 133531239 184543173 400593717 1824926933 5474780799 16424342397