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54455337216 = 2832710213307
BaseRepresentation
bin110010101101110010…
…101000000100000000
312012120002022202022100
4302231302220010000
51343011031242331
641003314510400
73635311505040
oct625562500400
9165502282270
1054455337216
1121104688925
12a678b95400
13519ab09537
1428c8331720
15163aaaeae6
hexcadca8100

54455337216 has 216 divisors, whose sum is σ = 179667959744. Its totient is φ = 15538728960.

The previous prime is 54455337197. The next prime is 54455337217. The reversal of 54455337216 is 61273355445.

54455337216 is a `hidden beast` number, since 5 + 4 + 45 + 533 + 72 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (54455337217) 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 23 ways as a sum of consecutive naturals, for example, 16465035 + ... + 16468341.

Almost surely, 254455337216 is an apocalyptic number.

54455337216 is a gapful number since it is divisible by the number (56) 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 54455337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89833979872).

54455337216 is an abundant number, since it is smaller than the sum of its proper divisors (125212622528).

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

54455337216 is a wasteful number, since it uses less digits than its factorization.

54455337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4340 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 54455337216 in words is "fifty-four billion, four hundred fifty-five million, three hundred thirty-seven thousand, two hundred sixteen".