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16340153616 = 2432113473289
BaseRepresentation
bin11110011011111001…
…01111010100010000
31120011202212210211200
433031330233110100
5231431034403431
611301230111200
71115632004553
oct171574572420
946152783750
1016340153616
116a25655296
12320034b500
1317053a2767
14b101d869a
156597d6ee6
hex3cdf2f510

16340153616 has 30 divisors (see below), whose sum is σ = 45729735870. Its totient is φ = 5446717824.

The previous prime is 16340153593. The next prime is 16340153651. The reversal of 16340153616 is 61635104361.

16340153616 is a `hidden beast` number, since 1 + 6 + 34 + 0 + 1 + 5 + 3 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10670063616 + 5670090000 = 103296^2 + 75300^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56736501 + ... + 56736788.

It is an arithmetic number, because the mean of its divisors is an integer number (1524324529).

Almost surely, 216340153616 is an apocalyptic number.

16340153616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16340153616 is an abundant number, since it is smaller than the sum of its proper divisors (29389582254).

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

16340153616 is a wasteful number, since it uses less digits than its factorization.

16340153616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113473303 (or 113473294 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 16340153616 its reverse (61635104361), we get a palindrome (77975257977).

The spelling of 16340153616 in words is "sixteen billion, three hundred forty million, one hundred fifty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 113473289 226946578 340419867 453893156 680839734 907786312 1021259601 1361679468 1815572624 2042519202 2723358936 4085038404 5446717872 8170076808 16340153616