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4425374841216 = 273723231100393
BaseRepresentation
bin100000001100101110011…
…1001010011100110000000
3120200001122222111120012220
41000121130321103212000
51040001131424404331
613224553353051040
7634502625334050
oct100313471234600
916601588446186
104425374841216
11145687780181a
125b58010b6a80
13261407513304
14114291581560
157a1aa41a296
hex4065ce53980

4425374841216 has 384 divisors, whose sum is σ = 14496829347840. Its totient is φ = 1170394030080.

The previous prime is 4425374841211. The next prime is 4425374841229. The reversal of 4425374841216 is 6121484735244.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4425374841211) 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 47 ways as a sum of consecutive naturals, for example, 44030316 + ... + 44130708.

It is an arithmetic number, because the mean of its divisors is an integer number (37752159760).

Almost surely, 24425374841216 is an apocalyptic number.

4425374841216 is a gapful number since it is divisible by the number (46) 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 4425374841216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7248414673920).

4425374841216 is an abundant number, since it is smaller than the sum of its proper divisors (10071454506624).

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

4425374841216 is a wasteful number, since it uses less digits than its factorization.

4425374841216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100494 (or 100459 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 51.

The spelling of 4425374841216 in words is "four trillion, four hundred twenty-five billion, three hundred seventy-four million, eight hundred forty-one thousand, two hundred sixteen".