Search a number
-
+
10968079248 = 24327231411223
BaseRepresentation
bin10100011011011111…
…11001101110010000
31001022101101011012100
422031233321232100
5134430312013443
65012204000400
7535541064300
oct121557715620
931271334170
1010968079248
114719216305
122161230100
13105a42c329
14760961600
15442d863d3
hex28dbf9b90

10968079248 has 360 divisors, whose sum is σ = 37788581376. Its totient is φ = 2956262400.

The previous prime is 10968079247. The next prime is 10968079259. The reversal of 10968079248 is 84297086901.

It is a junction number, because it is equal to n+sod(n) for n = 10968079194 and 10968079203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10968079247) 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 71 ways as a sum of consecutive naturals, for example, 8967565 + ... + 8968787.

Almost surely, 210968079248 is an apocalyptic number.

10968079248 is a gapful number since it is divisible by the number (18) 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 10968079248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18894290688).

10968079248 is an abundant number, since it is smaller than the sum of its proper divisors (26820502128).

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

10968079248 is a wasteful number, since it uses less digits than its factorization.

10968079248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10968079248 in words is "ten billion, nine hundred sixty-eight million, seventy-nine thousand, two hundred forty-eight".