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4728228262272 = 273219121488821
BaseRepresentation
bin100010011001110000001…
…0111011011000110000000
3121202000101100122101210100
41010303200113123012000
51104431402413343042
614020041301002400
7665413622051304
oct104634027330600
917660340571710
104728228262272
111563259653539
126444420b3400
13283b40554738
14124bc1651d04
1582ed336724c
hex44ce05db180

4728228262272 has 96 divisors (see below), whose sum is σ = 13677205426560. Its totient is φ = 1567824307200.

The previous prime is 4728228262249. The next prime is 4728228262279. The reversal of 4728228262272 is 2722628228274.

4728228262272 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 2 + 2 + 8 + 2 + 622 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×47282282622722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4728228262279) 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 11 ways as a sum of consecutive naturals, for example, 10524379 + ... + 10964442.

It is an arithmetic number, because the mean of its divisors is an integer number (142470889860).

Almost surely, 24728228262272 is an apocalyptic number.

It is an amenable number.

4728228262272 is an abundant number, since it is smaller than the sum of its proper divisors (8948977164288).

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

4728228262272 is a wasteful number, since it uses less digits than its factorization.

4728228262272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21489032 (or 21489017 counting only the distinct ones).

The product of its digits is 9633792, while the sum is 54.

The spelling of 4728228262272 in words is "four trillion, seven hundred twenty-eight billion, two hundred twenty-eight million, two hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 191 192 288 382 384 573 576 764 1146 1152 1528 1719 2292 3056 3438 4584 6112 6876 9168 12224 13752 18336 24448 27504 36672 55008 73344 110016 220032 21488821 42977642 64466463 85955284 128932926 171910568 193399389 257865852 343821136 386798778 515731704 687642272 773597556 1031463408 1375284544 1547195112 2062926816 2750569088 3094390224 4104364811 4125853632 6188780448 8208729622 8251707264 12313094433 12377560896 16417459244 24626188866 24755121792 32834918488 36939283299 49252377732 65669836976 73878566598 98504755464 131339673952 147757133196 197009510928 262679347904 295514266392 394019021856 525358695808 591028532784 788038043712 1182057065568 1576076087424 2364114131136 4728228262272