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2068549296 = 2431153193383
BaseRepresentation
bin111101101001011…
…1000111010110000
312100011100012011220
41323102320322300
513214022034141
6541132105040
7102155243652
oct17322707260
95304305156
102068549296
11971707780
12498905180
1326c728788
14158a206d2
15c1903766
hex7b4b8eb0

2068549296 has 160 divisors (see below), whose sum is σ = 5985902592. Its totient is φ = 610222080.

The previous prime is 2068549283. The next prime is 2068549297. The reversal of 2068549296 is 6929458602.

It is a super-3 number, since 3×20685492963 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2068549297) 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 31 ways as a sum of consecutive naturals, for example, 5400721 + ... + 5401103.

Almost surely, 22068549296 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 2068549296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992951296).

2068549296 is an abundant number, since it is smaller than the sum of its proper divisors (3917353296).

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

2068549296 is a wasteful number, since it uses less digits than its factorization.

2068549296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 2068549296 is about 45481.3071052273. The cubic root of 2068549296 is about 1274.1541068169.

The spelling of 2068549296 in words is "two billion, sixty-eight million, five hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 193 212 264 318 383 386 424 528 579 583 636 766 772 848 1149 1158 1166 1272 1532 1544 1749 2123 2298 2316 2332 2544 3064 3088 3498 4213 4246 4596 4632 4664 6128 6369 6996 8426 8492 9192 9264 9328 10229 12639 12738 13992 16852 16984 18384 20299 20458 25278 25476 27984 30687 33704 33968 40598 40916 50556 50952 60897 61374 67408 73919 81196 81832 101112 101904 112519 121794 122748 147838 162392 163664 202224 221757 223289 225038 243588 245496 295676 324784 337557 443514 446578 450076 487176 490992 591352 669867 675114 813109 887028 893156 900152 974352 1182704 1339734 1350228 1626218 1774056 1786312 1800304 2439327 2679468 2700456 3252436 3548112 3572624 3917707 4878654 5358936 5400912 6504872 7835414 9757308 10717872 11753121 13009744 15670828 19514616 23506242 31341656 39029232 43094777 47012484 62683312 86189554 94024968 129284331 172379108 188049936 258568662 344758216 517137324 689516432 1034274648 2068549296