Search a number
-
+
5065735360 = 265712717807
BaseRepresentation
bin1001011011111000…
…01111110011000000
3111002001002000112011
410231330033303000
540333312012420
62154400142304
7236351016520
oct45574176300
914061060464
105065735360
11216a525a54
12b94607994
1362966625a
14360ad3680
151e9add95a
hex12df0fcc0

5065735360 has 112 divisors (see below), whose sum is σ = 13895368704. Its totient is φ = 1723051008.

The previous prime is 5065735343. The next prime is 5065735373. The reversal of 5065735360 is 635375605.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275577 + ... + 293383.

It is an arithmetic number, because the mean of its divisors is an integer number (124065792).

Almost surely, 25065735360 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 5065735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947684352).

5065735360 is an abundant number, since it is smaller than the sum of its proper divisors (8829633344).

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

5065735360 is a wasteful number, since it uses less digits than its factorization.

5065735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17958 (or 17948 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 40.

The square root of 5065735360 is about 71173.9795149885. The cubic root of 5065735360 is about 1717.4370699031.

The spelling of 5065735360 in words is "five billion, sixty-five million, seven hundred thirty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 127 140 160 224 254 280 320 448 508 560 635 889 1016 1120 1270 1778 2032 2240 2540 3556 4064 4445 5080 7112 8128 8890 10160 14224 17780 17807 20320 28448 35560 35614 40640 56896 71120 71228 89035 124649 142240 142456 178070 249298 284480 284912 356140 498596 569824 623245 712280 997192 1139648 1246490 1424560 1994384 2261489 2492980 2849120 3988768 4522978 4985960 5698240 7977536 9045956 9971920 11307445 15830423 18091912 19943840 22614890 31660846 36183824 39887680 45229780 63321692 72367648 79152115 90459560 126643384 144735296 158304230 180919120 253286768 316608460 361838240 506573536 633216920 723676480 1013147072 1266433840 2532867680 5065735360