Search a number
-
+
204266522432 = 2675926172953
BaseRepresentation
bin1011111000111100111…
…0111100011101000000
3201112020200111110222202
42332033032330131000
511321314212204212
6233501100252332
720520625535630
oct2761716743500
9645220443882
10204266522432
11796a11436a5
12337085410a8
131635421986b
149c5a9b26c0
1554a7ce40c2
hex2f8f3bc740

204266522432 has 112 divisors (see below), whose sum is σ = 471438549120. Its totient is φ = 85997002752.

The previous prime is 204266522417. The next prime is 204266522459. The reversal of 204266522432 is 234225662402.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69171068 + ... + 69174020.

It is an arithmetic number, because the mean of its divisors is an integer number (4209272760).

Almost surely, 2204266522432 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 204266522432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235719274560).

204266522432 is an abundant number, since it is smaller than the sum of its proper divisors (267172026688).

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

204266522432 is a wasteful number, since it uses less digits than its factorization.

204266522432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 204266522432 in words is "two hundred four billion, two hundred sixty-six million, five hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 224 236 413 448 472 826 944 1652 1888 2617 2953 3304 3776 5234 5906 6608 10468 11812 13216 18319 20671 20936 23624 26432 36638 41342 41872 47248 73276 82684 83744 94496 146552 154403 165368 167488 174227 188992 293104 308806 330736 348454 586208 617612 661472 696908 1080821 1172416 1219589 1235224 1322944 1393816 2161642 2439178 2470448 2787632 4323284 4878356 4940896 5575264 7728001 8646568 9756712 9881792 11150528 15456002 17293136 19513424 30912004 34586272 39026848 54096007 61824008 69172544 78053696 108192014 123648016 216384028 247296032 432768056 455952059 494592064 865536112 911904118 1731072224 1823808236 3191664413 3462144448 3647616472 6383328826 7295232944 12766657652 14590465888 25533315304 29180931776 51066630608 102133261216 204266522432