Search a number
-
+
10508434283460 = 223510328349912041
BaseRepresentation
bin1001100011101010111101…
…1111100001101111000100
31101012121002212000221212210
42120322233133201233010
52334132233134032320
634203301424143420
72133131540424441
oct230725737415704
941177085027783
1010508434283460
113391669220513
121218731467b70
135b2c307a2569
1428487a5869c8
151335362580e0
hex98eaf7e1bc4

10508434283460 has 192 divisors, whose sum is σ = 29876491008000. Its totient is φ = 2759466286080.

The previous prime is 10508434283453. The next prime is 10508434283483. The reversal of 10508434283460 is 6438243480501.

It is a super-2 number, since 2×105084342834602 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 872715040 + ... + 872727080.

It is an arithmetic number, because the mean of its divisors is an integer number (155606724000).

Almost surely, 210508434283460 is an apocalyptic number.

10508434283460 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 10508434283460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938245504000).

10508434283460 is an abundant number, since it is smaller than the sum of its proper divisors (19368056724540).

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

10508434283460 is a wasteful number, since it uses less digits than its factorization.

10508434283460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12938 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 10508434283460 in words is "ten trillion, five hundred eight billion, four hundred thirty-four million, two hundred eighty-three thousand, four hundred sixty".