Search a number
-
+
33056139168 = 25321324413617
BaseRepresentation
bin11110110010010011…
…001010011110100000
310011022201221212011200
4132302103022132200
51020144332423133
623104043441200
72250106355403
oct366223123640
9104281855150
1033056139168
1113023368688
1264a6526200
13316a5a4180
1418582a5d3a
15cd70ab913
hex7b24ca7a0

33056139168 has 144 divisors (see below), whose sum is σ = 101303898696. Its totient is φ = 10164142080.

The previous prime is 33056139163. The next prime is 33056139169. The reversal of 33056139168 is 86193165033.

It can be written as a sum of positive squares in 4 ways, for example, as 4795839504 + 28260299664 = 69252^2 + 168108^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (33056139163) 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, 9137296 + ... + 9140912.

Almost surely, 233056139168 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 33056139168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50651949348).

33056139168 is an abundant number, since it is smaller than the sum of its proper divisors (68247759528).

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

33056139168 is a wasteful number, since it uses less digits than its factorization.

33056139168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6087 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 33056139168 in words is "thirty-three billion, fifty-six million, one hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 2441 3617 3744 4882 7234 7323 9764 10851 14468 14646 19528 21702 21969 28936 29292 31733 32553 39056 43404 43938 47021 57872 58584 63466 65106 78112 86808 87876 94042 95199 115744 117168 126932 130212 141063 173616 175752 188084 190398 234336 253864 260424 282126 285597 347232 351504 376168 380796 423189 507728 520848 564252 571194 703008 752336 761592 846378 1015456 1041696 1128504 1142388 1504672 1523184 1692756 2257008 2284776 3046368 3385512 4514016 4569552 6771024 8829097 9139104 13542048 17658194 26487291 35316388 52974582 70632776 79461873 105949164 114778261 141265552 158923746 211898328 229556522 282531104 317847492 344334783 423796656 459113044 635694984 688669566 847593312 918226088 1033004349 1271389968 1377339132 1836452176 2066008698 2542779936 2754678264 3672904352 4132017396 5509356528 8264034792 11018713056 16528069584 33056139168