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16453540656 = 243272193137107
BaseRepresentation
bin11110101001011010…
…10001101100110000
31120110200020110121200
433110231101230300
5232144101300111
611320400251200
71121506534200
oct172455215460
946420213550
1016453540656
116a8365a693
123232310b00
131722a22697
14b212b2400
15664733256
hex3d4b51b30

16453540656 has 720 divisors, whose sum is σ = 60334709760. Its totient is φ = 4154250240.

The previous prime is 16453540577. The next prime is 16453540681. The reversal of 16453540656 is 65604535461.

16453540656 is a `hidden beast` number, since 1 + 6 + 4 + 53 + 540 + 6 + 56 = 666.

16453540656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 153771355 + ... + 153771461.

It is an arithmetic number, because the mean of its divisors is an integer number (83798208).

Almost surely, 216453540656 is an apocalyptic number.

16453540656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16453540656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30167354880).

16453540656 is an abundant number, since it is smaller than the sum of its proper divisors (43881169104).

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

16453540656 is a wasteful number, since it uses less digits than its factorization.

16453540656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 16453540656 in words is "sixteen billion, four hundred fifty-three million, five hundred forty thousand, six hundred fifty-six".