Search a number
-
+
9839506068 = 22327169323063
BaseRepresentation
bin10010010100111101…
…01111001010010100
3221101201202200211200
421022132233022110
5130122403143233
64304210432500
7465555264420
oct111236571224
927351680750
109839506068
11419a1655a7
121aa7292730
13c0a685c52
14694b05b80
153c8c59313
hex24a7af294

9839506068 has 72 divisors (see below), whose sum is σ = 28443262848. Its totient is φ = 2809505088.

The previous prime is 9839506067. The next prime is 9839506069. The reversal of 9839506068 is 8606059389.

9839506068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9839506067) and next prime (9839506069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9839506067) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 415105 + ... + 438167.

Almost surely, 29839506068 is an apocalyptic number.

It is an amenable number.

9839506068 is an abundant number, since it is smaller than the sum of its proper divisors (18603756780).

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

9839506068 is a wasteful number, since it uses less digits than its factorization.

9839506068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24773 (or 24768 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 9839506068 is about 99194.2844522808. The cubic root of 9839506068 is about 2142.8466838270.

The spelling of 9839506068 in words is "nine billion, eight hundred thirty-nine million, five hundred six thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1693 3386 5079 6772 10158 11851 15237 20316 23063 23702 30474 35553 46126 47404 60948 69189 71106 92252 106659 138378 142212 161441 207567 213318 276756 322882 415134 426636 484323 645764 830268 968646 1452969 1937292 2905938 5811876 39045659 78091318 117136977 156182636 234273954 273319613 351410931 468547908 546639226 702821862 819958839 1093278452 1405643724 1639917678 2459876517 3279835356 4919753034 9839506068