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5682466016 = 252917093583
BaseRepresentation
bin1010100101011001…
…11000110011100000
3112200000120011221022
411102230320303200
543114202403031
62335510545012
7260550110213
oct52254706340
915600504838
105682466016
112456670907
121127068168
136c736c136
143bc99377a
15233d1397b
hex152b38ce0

5682466016 has 48 divisors (see below), whose sum is σ = 11583129600. Its totient is φ = 2740889088.

The previous prime is 5682466003. The next prime is 5682466033. The reversal of 5682466016 is 6106642865.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1584161 + ... + 1587743.

It is an arithmetic number, because the mean of its divisors is an integer number (241315200).

Almost surely, 25682466016 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 5682466016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791564800).

5682466016 is an abundant number, since it is smaller than the sum of its proper divisors (5900663584).

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

5682466016 is a wasteful number, since it uses less digits than its factorization.

5682466016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5323 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 5682466016 is about 75382.1332677711. The cubic root of 5682466016 is about 1784.4824551298.

The spelling of 5682466016 in words is "five billion, six hundred eighty-two million, four hundred sixty-six thousand, sixteen".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1709 3418 3583 6836 7166 13672 14332 27344 28664 49561 54688 57328 99122 103907 114656 198244 207814 396488 415628 792976 831256 1585952 1662512 3325024 6123347 12246694 24493388 48986776 97973552 177577063 195947104 355154126 710308252 1420616504 2841233008 5682466016