Search a number
-
+
6609235128 = 2334723325147
BaseRepresentation
bin1100010011111000…
…01110110010111000
3122001121102221011020
412021330032302320
5102013431011003
63011454502440
7322532400036
oct61174166270
918047387136
106609235128
1128918171a1
121345504a20
13814379022
14469abb556
1528a37bd53
hex189f0ecb8

6609235128 has 64 divisors (see below), whose sum is σ = 16947740160. Its totient is φ = 2146864896.

The previous prime is 6609235103. The next prime is 6609235133. The reversal of 6609235128 is 8215329066.

It is a self number, because there is not a number n which added to its sum of digits gives 6609235128.

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 15 ways as a sum of consecutive naturals, for example, 250251 + ... + 275397.

It is an arithmetic number, because the mean of its divisors is an integer number (264808440).

Almost surely, 26609235128 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 6609235128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8473870080).

6609235128 is an abundant number, since it is smaller than the sum of its proper divisors (10338505032).

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

6609235128 is a wasteful number, since it uses less digits than its factorization.

6609235128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25436 (or 25432 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 6609235128 is about 81297.2024610933. The cubic root of 6609235128 is about 1876.6519488694.

The spelling of 6609235128 in words is "six billion, six hundred nine million, two hundred thirty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 233 282 376 466 564 699 932 1128 1398 1864 2796 5592 10951 21902 25147 32853 43804 50294 65706 75441 87608 100588 131412 150882 201176 262824 301764 603528 1181909 2363818 3545727 4727636 5859251 7091454 9455272 11718502 14182908 17577753 23437004 28365816 35155506 46874008 70311012 140622024 275384797 550769594 826154391 1101539188 1652308782 2203078376 3304617564 6609235128