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2028271317248 = 28113141566693
BaseRepresentation
bin11101100000111110011…
…001000011000100000000
321011220022201022120102002
4131200332121003010000
5231212344424122443
64151435221243132
7266352311510351
oct35407631030400
97156281276362
102028271317248
11712204310990
12289113b634a8
1311935a749667
14702514a7d28
1537b5ee892b8
hex1d83e643100

2028271317248 has 144 divisors (see below), whose sum is σ = 4670356465152. Its totient is φ = 870438912000.

The previous prime is 2028271317187. The next prime is 2028271317257. The reversal of 2028271317248 is 8427131728202.

It is a super-2 number, since 2×20282713172482 (a number of 25 digits) contains 22 as substring.

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, 3295790 + ... + 3862482.

It is an arithmetic number, because the mean of its divisors is an integer number (32433031008).

Almost surely, 22028271317248 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 2028271317248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335178232576).

2028271317248 is an abundant number, since it is smaller than the sum of its proper divisors (2642085147904).

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

2028271317248 is a wasteful number, since it uses less digits than its factorization.

2028271317248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566792 (or 566778 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The spelling of 2028271317248 in words is "two trillion, twenty-eight billion, two hundred seventy-one million, three hundred seventeen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 41 44 62 64 82 88 124 128 164 176 248 256 328 341 352 451 496 656 682 704 902 992 1271 1312 1364 1408 1804 1984 2542 2624 2728 2816 3608 3968 5084 5248 5456 7216 7936 10168 10496 10912 13981 14432 20336 21824 27962 28864 40672 43648 55924 57728 81344 87296 111848 115456 162688 223696 325376 447392 566693 894784 1133386 1789568 2266772 3579136 4533544 6233623 9067088 12467246 17567483 18134176 23234413 24934492 35134966 36268352 46468826 49868984 70269932 72536704 92937652 99737968 140539864 145073408 185875304 193242313 199475936 255578543 281079728 371750608 386484626 398951872 511157086 562159456 720266803 743501216 772969252 797903744 1022314172 1124318912 1440533606 1487002432 1545938504 1595807488 2044628344 2248637824 2881067212 2974004864 3091877008 4089256688 4497275648 5762134424 5948009728 6183754016 7922934833 8178513376 11524268848 12367508032 15845869666 16357026752 23048537696 24735016064 31691739332 32714053504 46097075392 49470032128 63383478664 65428107008 92194150784 126766957328 184388301568 253533914656 507067829312 1014135658624 2028271317248