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5011612560 = 2436585933
BaseRepresentation
bin1001010101011011…
…10010001110010000
3110221021020022000000
410222231302032100
540230433100220
62145144130000
7235123001223
oct45255621620
913837208000
105011612560
112141a19769
12b7a466900
1361b396426
143578455ba
151e4e9c390
hex12ab72390

5011612560 has 140 divisors (see below), whose sum is σ = 17470210332. Its totient is φ = 1336414464.

The previous prime is 5011612523. The next prime is 5011612561. The reversal of 5011612560 is 652161105.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2500400016 + 2511212544 = 50004^2 + 50112^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5011612561) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 15354 + ... + 101286.

Almost surely, 25011612560 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 5011612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8735105166).

5011612560 is an abundant number, since it is smaller than the sum of its proper divisors (12458597772).

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

5011612560 is an equidigital number, since it uses as much as digits as its factorization.

5011612560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85964 (or 85943 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5011612560 is about 70792.7436959467. The cubic root of 5011612560 is about 1711.2987363583.

Adding to 5011612560 its reverse (652161105), we get a palindrome (5663773665).

The spelling of 5011612560 in words is "five billion, eleven million, six hundred twelve thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 29160 58320 85933 171866 257799 343732 429665 515598 687464 773397 859330 1031196 1288995 1374928 1546794 1718660 2062392 2320191 2577990 3093588 3437320 3866985 4124784 4640382 5155980 6187176 6874640 6960573 7733970 9280764 10311960 11600955 12374352 13921146 15467940 18561528 20623920 20881719 23201910 27842292 30935880 34802865 37123056 41763438 46403820 55684584 61871760 62645157 69605730 83526876 92807640 104408595 111369168 125290314 139211460 167053752 185615280 208817190 250580628 278422920 313225785 334107504 417634380 501161256 556845840 626451570 835268760 1002322512 1252903140 1670537520 2505806280 5011612560