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3293663168 = 26294143283
BaseRepresentation
bin1100010001010001…
…0100111111000000
322111112121102110202
43010110110333000
523221134210133
61302454344332
7144422450345
oct30424247700
98445542422
103293663168
111440206984
1277b05b0a8
134064a3c23
1423360a7cc
151442502e8
hexc4514fc0

3293663168 has 56 divisors (see below), whose sum is σ = 6926305680. Its totient is φ = 1551226880.

The previous prime is 3293663161. The next prime is 3293663173. The reversal of 3293663168 is 8613663923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3293663161) 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 7 ways as a sum of consecutive naturals, for example, 54455 + ... + 97737.

It is an arithmetic number, because the mean of its divisors is an integer number (123684030).

Almost surely, 23293663168 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 3293663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463152840).

3293663168 is an abundant number, since it is smaller than the sum of its proper divisors (3632642512).

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

3293663168 is a wasteful number, since it uses less digits than its factorization.

3293663168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43365 (or 43355 counting only the distinct ones).

The product of its digits is 839808, while the sum is 47.

The square root of 3293663168 is about 57390.4449189933. Note that the first 3 decimals coincide. The cubic root of 3293663168 is about 1487.8519816536.

The spelling of 3293663168 in words is "three billion, two hundred ninety-three million, six hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 164 232 328 464 656 928 1189 1312 1856 2378 2624 4756 9512 19024 38048 43283 76096 86566 173132 346264 692528 1255207 1385056 1774603 2510414 2770112 3549206 5020828 7098412 10041656 14196824 20083312 28393648 40166624 51463487 56787296 80333248 102926974 113574592 205853948 411707896 823415792 1646831584 3293663168