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5010510560 = 2551115718133
BaseRepresentation
bin1001010101010011…
…00101001011100000
3110221012011022100012
410222221211023200
540230142314220
62145104344052
7235110431336
oct45251451340
913835138305
105010510560
112141336820
12b7a015028
1361b09b963
14357639b56
151e4d30ac5
hex12aa652e0

5010510560 has 96 divisors (see below), whose sum is σ = 12996420192. Its totient is φ = 1810298880.

The previous prime is 5010510523. The next prime is 5010510569. The reversal of 5010510560 is 650150105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5010510569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267254 + ... + 285386.

It is an arithmetic number, because the mean of its divisors is an integer number (135379377).

Almost surely, 25010510560 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 5010510560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498210096).

5010510560 is an abundant number, since it is smaller than the sum of its proper divisors (7985909632).

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

5010510560 is a wasteful number, since it uses less digits than its factorization.

5010510560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18316 (or 18308 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 5010510560 is about 70784.9599844487. The cubic root of 5010510560 is about 1711.1732950671.

Adding to 5010510560 its reverse (650150105), we get a palindrome (5660660665).

The spelling of 5010510560 in words is "five billion, ten million, five hundred ten thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 157 160 176 220 314 352 440 628 785 880 1256 1570 1727 1760 2512 3140 3454 5024 6280 6908 8635 12560 13816 17270 18133 25120 27632 34540 36266 55264 69080 72532 90665 138160 145064 181330 199463 276320 290128 362660 398926 580256 725320 797852 997315 1450640 1595704 1994630 2846881 2901280 3191408 3989260 5693762 6382816 7978520 11387524 14234405 15957040 22775048 28468810 31315691 31914080 45550096 56937620 62631382 91100192 113875240 125262764 156578455 227750480 250525528 313156910 455500960 501051056 626313820 1002102112 1252627640 2505255280 5010510560