Search a number
-
+
9963343968 = 253103784833
BaseRepresentation
bin10010100011101110…
…01001000001100000
3221201100210022111120
421101313021001200
5130401104001333
64324353012240
7501621012024
oct112167110140
927640708446
109963343968
114253058876
121b20854080
13c2a224a06
146a7340384
153d4a6bdb3
hex251dc9060

9963343968 has 24 divisors (see below), whose sum is σ = 26153778168. Its totient is φ = 3321114624.

The previous prime is 9963343963. The next prime is 9963344047. The reversal of 9963343968 is 8693433699.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9963343963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51892321 + ... + 51892512.

It is an arithmetic number, because the mean of its divisors is an integer number (1089740757).

Almost surely, 29963343968 is an apocalyptic number.

It is an amenable number.

9963343968 is an abundant number, since it is smaller than the sum of its proper divisors (16190434200).

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

9963343968 is a wasteful number, since it uses less digits than its factorization.

9963343968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103784846 (or 103784838 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 60.

The square root of 9963343968 is about 99816.5515733738. The cubic root of 9963343968 is about 2151.7990327479.

The spelling of 9963343968 in words is "nine billion, nine hundred sixty-three million, three hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103784833 207569666 311354499 415139332 622708998 830278664 1245417996 1660557328 2490835992 3321114656 4981671984 9963343968