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2028012672 = 27372332803
BaseRepresentation
bin111100011100001…
…0000010010000000
312020100001201101110
41320320100102000
513123132401142
6533123203320
7101153552250
oct17070202200
95210051343
102028012672
1195083aa34
12487216540
132642048ca
141534ab960
15bd09799c
hex78e10480

2028012672 has 128 divisors (see below), whose sum is σ = 6424335360. Its totient is φ = 554222592.

The previous prime is 2028012647. The next prime is 2028012673. The reversal of 2028012672 is 2762108202.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20280126722 = 8225670795585159168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2028012673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45423 + ... + 78225.

It is an arithmetic number, because the mean of its divisors is an integer number (50190120).

Almost surely, 22028012672 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 2028012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212167680).

2028012672 is an abundant number, since it is smaller than the sum of its proper divisors (4396322688).

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

2028012672 is a wasteful number, since it uses less digits than its factorization.

2028012672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32850 (or 32838 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2028012672 is about 45033.4616923905. The cubic root of 2028012672 is about 1265.7760910161.

The spelling of 2028012672 in words is "two billion, twenty-eight million, twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 896 966 1104 1288 1344 1472 1932 2208 2576 2688 2944 3864 4416 5152 7728 8832 10304 15456 20608 30912 32803 61824 65606 98409 131212 196818 229621 262424 393636 459242 524848 688863 754469 787272 918484 1049696 1377726 1508938 1574544 1836968 2099392 2263407 2755452 3017876 3149088 3673936 4198784 4526814 5281283 5510904 6035752 6298176 7347872 9053628 10562566 11021808 12071504 12596352 14695744 15843849 18107256 21125132 22043616 24143008 29391488 31687698 36214512 42250264 44087232 48286016 63375396 72429024 84500528 88174464 96572032 126750792 144858048 169001056 253501584 289716096 338002112 507003168 676004224 1014006336 2028012672