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5673409728 = 2637217191867
BaseRepresentation
bin1010100100010100…
…10101110011000000
3112122101112002001020
411102022111303000
543104343102403
62334544505440
7260410121100
oct52212256300
915571462036
105673409728
112451545778
12112401b280
136c551ac9c
143bb6b7200
15233125453
hex152295cc0

5673409728 has 336 divisors, whose sum is σ = 19472330880. Its totient is φ = 1444552704.

The previous prime is 5673409717. The next prime is 5673409741. The reversal of 5673409728 is 8279043765.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3037851 + ... + 3039717.

Almost surely, 25673409728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5673409728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9736165440).

5673409728 is an abundant number, since it is smaller than the sum of its proper divisors (13798921152).

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

5673409728 is a wasteful number, since it uses less digits than its factorization.

5673409728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 5673409728 is about 75322.0401210695. The cubic root of 5673409728 is about 1783.5339596531.

The spelling of 5673409728 in words is "five billion, six hundred seventy-three million, four hundred nine thousand, seven hundred twenty-eight".