Search a number
-
+
9348041568 = 253313141143
BaseRepresentation
bin10001011010010111…
…11100101101100000
3220010110222201021210
420231023330231200
5123121044312233
64143332550120
7450440020335
oct105513745540
926113881253
109348041568
113a677a8a98
12198a782340
13b5c8cbc58
1464973298c
1539aa2a163
hex22d2fcb60

9348041568 has 48 divisors (see below), whose sum is σ = 25330185216. Its totient is φ = 3015496320.

The previous prime is 9348041551. The next prime is 9348041609. The reversal of 9348041568 is 8651408439.

9348041568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1567596 + ... + 1573547.

It is an arithmetic number, because the mean of its divisors is an integer number (527712192).

Almost surely, 29348041568 is an apocalyptic number.

It is an amenable number.

9348041568 is an abundant number, since it is smaller than the sum of its proper divisors (15982143648).

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

9348041568 is a wasteful number, since it uses less digits than its factorization.

9348041568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141187 (or 3141179 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 9348041568 is about 96685.2706879388. The cubic root of 9348041568 is about 2106.5586008944.

The spelling of 9348041568 in words is "nine billion, three hundred forty-eight million, forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 3141143 6282286 9423429 12564572 18846858 25129144 37693716 50258288 75387432 97375433 100516576 150774864 194750866 292126299 301549728 389501732 584252598 779003464 1168505196 1558006928 2337010392 3116013856 4674020784 9348041568