Search a number
-
+
6055281152 = 291921812
BaseRepresentation
bin1011010001110110…
…00100001000000000
3120122000002011011022
411220323010020000
544400122444102
62440505405012
7303025016624
oct55073041000
916560064138
106055281152
112628059398
12120ba99768
13756682bcb
144162bd184
152569075a2
hex168ec4200

6055281152 has 90 divisors (see below), whose sum is σ = 12839962509. Its totient is φ = 2852444160.

The previous prime is 6055281149. The next prime is 6055281157. The reversal of 6055281152 is 2511825506.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3659766016 + 2395515136 = 60496^2 + 48944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=55024.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6055281157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33454502 + ... + 33454682.

Almost surely, 26055281152 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 6055281152

6055281152 is an abundant number, since it is smaller than the sum of its proper divisors (6784681357).

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

6055281152 is an frugal number, since it uses more digits than its factorization.

6055281152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

The square root of 6055281152 is about 77815.6870560172. The cubic root of 6055281152 is about 1822.6842362719.

The spelling of 6055281152 in words is "six billion, fifty-five million, two hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 181 256 304 361 362 512 608 722 724 1216 1444 1448 2432 2888 2896 3439 4864 5776 5792 6878 9728 11552 11584 13756 23104 23168 27512 32761 46208 46336 55024 65341 65522 92416 92672 110048 130682 131044 184832 220096 261364 262088 440192 522728 524176 622459 880384 1045456 1048352 1244918 1760768 2090912 2096704 2489836 4181824 4193408 4979672 8363648 8386816 9959344 11826721 16727296 16773632 19918688 23653442 33454592 39837376 47306884 79674752 94613768 159349504 189227536 318699008 378455072 756910144 1513820288 3027640576 6055281152