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5682319104 = 28373113753
BaseRepresentation
bin1010100101011000…
…10100111100000000
3112200000021201102010
411102230110330000
543114133202404
62335503452520
7260545626000
oct52254247400
915600251363
105682319104
1124565804a0
121126bb7140
136c731a2c7
143bc956000
15233cd5189
hex152b14f00

5682319104 has 576 divisors, whose sum is σ = 20132582400. Its totient is φ = 1408942080.

The previous prime is 5682319081. The next prime is 5682319163. The reversal of 5682319104 is 4019132865.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 107213542 + ... + 107213594.

It is an arithmetic number, because the mean of its divisors is an integer number (34952400).

Almost surely, 25682319104 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 5682319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10066291200).

5682319104 is an abundant number, since it is smaller than the sum of its proper divisors (14450263296).

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

5682319104 is a wasteful number, since it uses less digits than its factorization.

5682319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 5682319104 is about 75381.1588130615. The cubic root of 5682319104 is about 1784.4670765867.

The spelling of 5682319104 in words is "five billion, six hundred eighty-two million, three hundred nineteen thousand, one hundred four".