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2163275128 = 237241281479
BaseRepresentation
bin1000000011110000…
…1111010101111000
312120202120202121001
42000330033111320
513412244301003
6554354254344
7104415351400
oct20074172570
95522522531
102163275128
11a10126693
125045873b4
13286243771
1416743b800
15c9db561d
hex80f0f578

2163275128 has 96 divisors (see below), whose sum is σ = 4860777600. Its totient is φ = 899404800.

The previous prime is 2163275123. The next prime is 2163275131. The reversal of 2163275128 is 8215723612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163275123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4515993 + ... + 4516471.

It is an arithmetic number, because the mean of its divisors is an integer number (50633100).

Almost surely, 22163275128 is an apocalyptic number.

2163275128 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 2163275128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430388800).

2163275128 is an abundant number, since it is smaller than the sum of its proper divisors (2697502472).

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

2163275128 is a wasteful number, since it uses less digits than its factorization.

2163275128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 810 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 2163275128 is about 46511.0215755363. The cubic root of 2163275128 is about 1293.3138219916.

The spelling of 2163275128 in words is "two billion, one hundred sixty-three million, two hundred seventy-five thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 281 287 328 392 479 562 574 958 1124 1148 1916 1967 2009 2248 2296 3353 3832 3934 4018 6706 7868 8036 11521 13412 13769 15736 16072 19639 23042 23471 26824 27538 39278 46084 46942 55076 78556 80647 92168 93884 110152 134599 137473 157112 161294 187768 269198 274946 322588 538396 549892 564529 645176 942193 962311 1076792 1099784 1129058 1884386 1924622 2258116 3768772 3849244 4516232 5518559 6595351 7537544 7698488 11037118 13190702 22074236 26381404 38629913 44148472 52762808 77259826 154519652 270409391 309039304 540818782 1081637564 2163275128