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2750638128 = 243723533313
BaseRepresentation
bin1010001111110011…
…0110100000110000
321002200210220011020
42203330312200300
521113130410003
61132535415440
7125110016100
oct24374664060
97080726136
102750638128
111191733157
12649224580
1334ab36434
141c1455200
15111738d53
hexa3f36830

2750638128 has 120 divisors (see below), whose sum is σ = 8291866608. Its totient is φ = 783433728.

The previous prime is 2750638087. The next prime is 2750638157. The reversal of 2750638128 is 8218360572.

It is a super-2 number, since 2×27506381282 = 15132020222414688768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2750638128.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828600 + ... + 831912.

Almost surely, 22750638128 is an apocalyptic number.

2750638128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2750638128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145933304).

2750638128 is an abundant number, since it is smaller than the sum of its proper divisors (5541228480).

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

2750638128 is a wasteful number, since it uses less digits than its factorization.

2750638128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3691 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2750638128 is about 52446.5263673391. The cubic root of 2750638128 is about 1401.1280242045.

The spelling of 2750638128 in words is "two billion, seven hundred fifty million, six hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 353 392 588 706 784 1059 1176 1412 2118 2352 2471 2824 3313 4236 4942 5648 6626 7413 8472 9884 9939 13252 14826 16944 17297 19768 19878 23191 26504 29652 34594 39536 39756 46382 51891 53008 59304 69188 69573 79512 92764 103782 118608 138376 139146 159024 162337 185528 207564 276752 278292 324674 371056 415128 487011 556584 649348 830256 974022 1113168 1169489 1298696 1948044 2338978 2597392 3508467 3896088 4677956 7016934 7792176 8186423 9355912 14033868 16372846 18711824 24559269 28067736 32745692 49118538 56135472 57304961 65491384 98237076 114609922 130982768 171914883 196474152 229219844 343829766 392948304 458439688 687659532 916879376 1375319064 2750638128