Search a number
-
+
32850814524 = 223113723512861
BaseRepresentation
bin11110100110000011…
…111010011000111100
310010210102121021201020
4132212003322120330
51014234302031044
623031430544140
72242034213313
oct364603723074
9103712537636
1032850814524
1112a284791a0
126449808050
133136ba43b8
141838cd927a
15cc404ea19
hex7a60fa63c

32850814524 has 96 divisors (see below), whose sum is σ = 85946821632. Its totient is φ = 9678240000.

The previous prime is 32850814481. The next prime is 32850814531. The reversal of 32850814524 is 42541805823.

It is a super-3 number, since 3×328508145243 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11480854 + ... + 11483714.

It is an arithmetic number, because the mean of its divisors is an integer number (895279392).

Almost surely, 232850814524 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 32850814524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42973410816).

32850814524 is an abundant number, since it is smaller than the sum of its proper divisors (53096007108).

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

32850814524 is a wasteful number, since it uses less digits than its factorization.

32850814524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5265 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 32850814524 in words is "thirty-two billion, eight hundred fifty million, eight hundred fourteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2351 2442 2861 4702 4884 5722 7053 8583 9404 11444 14106 17166 25861 28212 31471 34332 51722 62942 77583 86987 94413 103444 105857 125884 155166 173974 188826 211714 260961 310332 317571 347948 377652 423428 521922 635142 956857 1043844 1164427 1270284 1913714 2328854 2870571 3493281 3827428 4657708 5741142 6726211 6986562 11482284 13452422 13973124 20178633 26904844 40357266 73988321 80714532 147976642 221964963 248869807 295953284 443929926 497739614 746609421 887859852 995479228 1493218842 2737567877 2986437684 5475135754 8212703631 10950271508 16425407262 32850814524