Search a number
-
+
10299317056 = 267229269421
BaseRepresentation
bin10011001011110001…
…10001101101000000
3222120202222111221021
421211320301231000
5132043111121211
64421554035224
7513140515300
oct114570615500
928522874837
1010299317056
114405772386
121bb5278b14
13c81a09462
146d9bd9600
154042d4771
hex265e31b40

10299317056 has 168 divisors, whose sum is σ = 24744349800. Its totient is φ = 4235857920.

The previous prime is 10299317047. The next prime is 10299317057. The reversal of 10299317056 is 65071399201.

It can be written as a sum of positive squares in 4 ways, for example, as 474542656 + 9824774400 = 21784^2 + 99120^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10299317057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24463726 + ... + 24464146.

Almost surely, 210299317056 is an apocalyptic number.

10299317056 is a gapful number since it is divisible by the number (16) 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 10299317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12372174900).

10299317056 is an abundant number, since it is smaller than the sum of its proper divisors (14445032744).

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

10299317056 is a wasteful number, since it uses less digits than its factorization.

10299317056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The spelling of 10299317056 in words is "ten billion, two hundred ninety-nine million, three hundred seventeen thousand, fifty-six".