Search a number
-
+
136410573260 = 225131674496997
BaseRepresentation
bin111111100001010110…
…1000010100111001100
3111001002200120002221002
41333002231002213030
54213332101321020
6142355515555432
712566244512213
oct1770255024714
9431080502832
10136410573260
1152940237765
122252b75bb78
13cb2c044650
146860a3207a
153835a4c975
hex1fc2b429cc

136410573260 has 96 divisors (see below), whose sum is σ = 311080694400. Its totient is φ = 49946738688.

The previous prime is 136410573151. The next prime is 136410573269. The reversal of 136410573260 is 62375014631.

It is not an unprimeable number, because it can be changed into a prime (136410573269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19492082 + ... + 19499078.

It is an arithmetic number, because the mean of its divisors is an integer number (3240423900).

Almost surely, 2136410573260 is an apocalyptic number.

136410573260 is a gapful number since it is divisible by the number (10) 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 136410573260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155540347200).

136410573260 is an abundant number, since it is smaller than the sum of its proper divisors (174670121140).

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

136410573260 is a wasteful number, since it uses less digits than its factorization.

136410573260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7635 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

Adding to 136410573260 its reverse (62375014631), we get a palindrome (198785587891).

The spelling of 136410573260 in words is "one hundred thirty-six billion, four hundred ten million, five hundred seventy-three thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 167 260 334 449 668 835 898 1670 1796 2171 2245 3340 4342 4490 5837 6997 8684 8980 10855 11674 13994 21710 23348 27988 29185 34985 43420 58370 69970 74983 90961 116740 139940 149966 181922 299932 363844 374915 454805 749830 909610 974779 1168499 1499660 1819220 1949558 2336998 3141653 3899116 4673996 4873895 5842495 6283306 9747790 11684990 12566612 15190487 15708265 19495580 23369980 30380974 31416530 40841489 60761948 62833060 75952435 81682978 151904870 163365956 204207445 303809740 408414890 524656051 816829780 1049312102 2098624204 2623280255 5246560510 6820528663 10493121020 13641057326 27282114652 34102643315 68205286630 136410573260