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16372016193 = 3132331358313
BaseRepresentation
bin11110011111101100…
…10010010001000001
31120020222211121002010
433033312102101001
5232012214004233
611304325043133
71116466561431
oct171766222101
946228747063
1016372016193
116a416380a5
12320ab564a9
13170bb7a460
14b145302c1
1565c4ccb63
hex3cfd92441

16372016193 has 32 divisors (see below), whose sum is σ = 24609441024. Its totient is φ = 9606085632.

The previous prime is 16372016189. The next prime is 16372016203. The reversal of 16372016193 is 39161027361.

16372016193 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 16372016193 - 22 = 16372016189 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (16372016153) 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, 251605 + ... + 309917.

It is an arithmetic number, because the mean of its divisors is an integer number (769045032).

Almost surely, 216372016193 is an apocalyptic number.

16372016193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

16372016193 is a deficient number, since it is larger than the sum of its proper divisors (8237424831).

16372016193 is a wasteful number, since it uses less digits than its factorization.

16372016193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58665.

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 16372016193 in words is "sixteen billion, three hundred seventy-two million, sixteen thousand, one hundred ninety-three".

Divisors: 1 3 13 23 39 69 299 313 897 939 4069 7199 12207 21597 58313 93587 174939 280761 758069 1341199 2274207 4023597 17435587 18251969 52306761 54755907 237275597 419795287 711826791 1259385861 5457338731 16372016193