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16454403216 = 2432114266689
BaseRepresentation
bin11110101001100001…
…00100010010010000
31120110201212021211100
433110300210102100
5232144311400331
611320430544400
71121520056016
oct172460442220
946421767740
1016454403216
116a84099749
123232668100
131722c65184
14b214588b6
15664853ae6
hex3d4c24490

16454403216 has 30 divisors (see below), whose sum is σ = 46049476070. Its totient is φ = 5484801024.

The previous prime is 16454403211. The next prime is 16454403247. The reversal of 16454403216 is 61230445461.

16454403216 is a `hidden beast` number, since 1 + 645 + 4 + 4 + 0 + 3 + 2 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10196960400 + 6257442816 = 100980^2 + 79104^2 .

It is a super-2 number, since 2×164544032162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (16454403211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57133201 + ... + 57133488.

Almost surely, 216454403216 is an apocalyptic number.

16454403216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16454403216 is an abundant number, since it is smaller than the sum of its proper divisors (29595072854).

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

16454403216 is a wasteful number, since it uses less digits than its factorization.

16454403216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114266703 (or 114266694 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 16454403216 its reverse (61230445461), we get a palindrome (77684848677).

It can be divided in two parts, 1645440 and 3216, that added together give a square (1648656 = 12842).

The spelling of 16454403216 in words is "sixteen billion, four hundred fifty-four million, four hundred three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 114266689 228533378 342800067 457066756 685600134 914133512 1028400201 1371200268 1828267024 2056800402 2742400536 4113600804 5484801072 8227201608 16454403216