Search a number
-
+
10803939328 = 211713291999
BaseRepresentation
bin10100000111111011…
…10000100000000000
31000212221111222120001
422003331300200000
5134111302024303
64544021525344
7531505653250
oct120375604000
930787458501
1010803939328
1146445a6586
122116273854
13103241c410
14746c35960
1543376231d
hex283f70800

10803939328 has 192 divisors, whose sum is σ = 27518400000. Its totient is φ = 4124639232.

The previous prime is 10803939323. The next prime is 10803939359. The reversal of 10803939328 is 82393930801.

10803939328 is nontrivially palindromic in base 3.

It is not an unprimeable number, because it can be changed into a prime (10803939323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5403673 + ... + 5405671.

It is an arithmetic number, because the mean of its divisors is an integer number (143325000).

Almost surely, 210803939328 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 10803939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13759200000).

10803939328 is an abundant number, since it is smaller than the sum of its proper divisors (16714460672).

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

10803939328 is a wasteful number, since it uses less digits than its factorization.

10803939328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

It can be divided in two parts, 10803 and 939328, that added together give a triangular number (950131 = T1378).

The spelling of 10803939328 in words is "ten billion, eight hundred three million, nine hundred thirty-nine thousand, three hundred twenty-eight".