Search a number
-
+
5313143610 = 2325113593881
BaseRepresentation
bin1001111001011000…
…00010001100111010
3111201021121122211200
410330230002030322
541340131043420
62235115035030
7245443655415
oct47454021472
914637548750
105313143610
112287149485
12104343ba76
136689ac078
143858d6b7c
152116aeb90
hex13cb0233a

5313143610 has 96 divisors (see below), whose sum is σ = 13975769808. Its totient is φ = 1400340480.

The previous prime is 5313143609. The next prime is 5313143701. The reversal of 5313143610 is 163413135.

5313143610 is a `hidden beast` number, since 5 + 3 + 1 + 3 + 1 + 43 + 610 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 377097561 + 4936046049 = 19419^2 + 70257^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6030370 + ... + 6031250.

Almost surely, 25313143610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5313143610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987884904).

5313143610 is an abundant number, since it is smaller than the sum of its proper divisors (8662626198).

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

5313143610 is a wasteful number, since it uses less digits than its factorization.

5313143610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 5313143610 is about 72891.3136800264. The cubic root of 5313143610 is about 1744.9534731425.

Adding to 5313143610 its reverse (163413135), we get a palindrome (5476556745).

The spelling of 5313143610 in words is "five billion, three hundred thirteen million, one hundred forty-three thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 593 678 881 1017 1130 1186 1695 1762 1779 2034 2643 2965 3390 3558 4405 5085 5286 5337 5930 7929 8810 8895 10170 10674 13215 15858 17790 26430 26685 39645 53370 67009 79290 99553 134018 199106 201027 298659 335045 402054 497765 522433 597318 603081 670090 895977 995530 1005135 1044866 1206162 1493295 1567299 1791954 2010270 2612165 2986590 3015405 3134598 4479885 4701897 5224330 6030810 7836495 8959770 9403794 15672990 23509485 47018970 59034929 118069858 177104787 295174645 354209574 531314361 590349290 885523935 1062628722 1771047870 2656571805 5313143610