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5334332320 = 255432513089
BaseRepresentation
bin1001111011111001…
…10111001110100000
3111202202111011021201
410331330313032200
541411042113240
62241153130544
7246122035162
oct47574671640
914682434251
105334332320
112298100909
12104a559a54
136701ba575
14388650932
15213497d9a
hex13df373a0

5334332320 has 96 divisors (see below), whose sum is σ = 12951005760. Its totient is φ = 2075136000.

The previous prime is 5334332299. The next prime is 5334332357. The reversal of 5334332320 is 232334335.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1725336 + ... + 1728424.

It is an arithmetic number, because the mean of its divisors is an integer number (134906310).

Almost surely, 25334332320 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 5334332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475502880).

5334332320 is an abundant number, since it is smaller than the sum of its proper divisors (7616673440).

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

5334332320 is a wasteful number, since it uses less digits than its factorization.

5334332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 28.

The square root of 5334332320 is about 73036.5136079208. The cubic root of 5334332320 is about 1747.2700095669.

Adding to 5334332320 its reverse (232334335), we get a palindrome (5566666655).

The spelling of 5334332320 in words is "five billion, three hundred thirty-four million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 251 344 430 502 688 860 1004 1255 1376 1720 2008 2510 3089 3440 4016 5020 6178 6880 8032 10040 10793 12356 15445 20080 21586 24712 30890 40160 43172 49424 53965 61780 86344 98848 107930 123560 132827 172688 215860 247120 265654 345376 431720 494240 531308 664135 775339 863440 1062616 1328270 1550678 1726880 2125232 2656540 3101356 3876695 4250464 5313080 6202712 7753390 10626160 12405424 15506780 21252320 24810848 31013560 33339577 62027120 66679154 124054240 133358308 166697885 266716616 333395770 533433232 666791540 1066866464 1333583080 2667166160 5334332320