Search a number
-
+
810139288480 = 25519440960443
BaseRepresentation
bin10111100101000000001…
…00001000001110100000
32212110002222222221222121
423302200010020032200
5101233131124212410
61420101200314024
7112350002221564
oct13624004101640
92773088887877
10810139288480
1129263a565255
12111016012914
135b51b785362
142b2d4bc56a4
15161185159da
hexbca01083a0

810139288480 has 96 divisors (see below), whose sum is σ = 2015178782400. Its totient is φ = 306925443072.

The previous prime is 810139288417. The next prime is 810139288487. The reversal of 810139288480 is 84882931018.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (810139288487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13373139 + ... + 13433581.

It is an arithmetic number, because the mean of its divisors is an integer number (20991445650).

Almost surely, 2810139288480 is an apocalyptic number.

810139288480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810139288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007589391200).

810139288480 is an abundant number, since it is smaller than the sum of its proper divisors (1205039493920).

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

810139288480 is a wasteful number, since it uses less digits than its factorization.

810139288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64886 (or 64878 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 52.

The spelling of 810139288480 in words is "eight hundred ten billion, one hundred thirty-nine million, two hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 4409 8818 17636 22045 35272 44090 60443 70544 83771 88180 120886 141088 167542 176360 241772 302215 335084 352720 418855 483544 604430 670168 705440 837710 967088 1148417 1208860 1340336 1675420 1934176 2296834 2417720 2680672 3350840 4593668 4835440 5742085 6701680 9187336 9670880 11484170 13403360 18374672 22968340 36749344 45936680 91873360 183746720 266493187 532986374 1065972748 1332465935 2131945496 2664931870 4263890992 5063370553 5329863740 8527781984 10126741106 10659727480 20253482212 21319454960 25316852765 40506964424 42638909920 50633705530 81013928848 101267411060 162027857696 202534822120 405069644240 810139288480