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544070016 = 27327195367
BaseRepresentation
bin100000011011011…
…101100110000000
31101220202121202100
4200123131212000
52103240220031
6125553150400
716324342650
oct4033354600
91356677670
10544070016
1125a127946
1213225b400
1388945329
1452388360
1532b70de6
hex206dd980

544070016 has 384 divisors, whose sum is σ = 1947628800. Its totient is φ = 142331904.

The previous prime is 544070011. The next prime is 544070029. The reversal of 544070016 is 610070445.

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 (544070011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8120415 + ... + 8120481.

It is an arithmetic number, because the mean of its divisors is an integer number (5071950).

Almost surely, 2544070016 is an apocalyptic number.

544070016 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 544070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973814400).

544070016 is an abundant number, since it is smaller than the sum of its proper divisors (1403558784).

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

544070016 is a wasteful number, since it uses less digits than its factorization.

544070016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 544070016 is about 23325.3084867060. The cubic root of 544070016 is about 816.3660410825.

The spelling of 544070016 in words is "five hundred forty-four million, seventy thousand, sixteen".