Search a number
-
+
21552201728 = 2158112
BaseRepresentation
bin10100000100100111…
…001000000000000000
32001122000021021201122
4110010213020000000
5323114330423403
613522334251412
71362040456241
oct240447100000
961560237648
1021552201728
11915a724172
124215956b68
1320561464b5
1410864d6cc8
15862177838
hex5049c8000

21552201728 has 48 divisors (see below), whose sum is σ = 43156960155. Its totient is φ = 10762813440.

The previous prime is 21552201719. The next prime is 21552201761. The reversal of 21552201728 is 82710225512.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 10776100864 + 10776100864 = 103808^2 + 103808^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=103808.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 26574443 + ... + 26575253.

Almost surely, 221552201728 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 21552201728

21552201728 is an abundant number, since it is smaller than the sum of its proper divisors (21604758427).

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

21552201728 is an frugal number, since it uses more digits than its factorization.

21552201728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The spelling of 21552201728 in words is "twenty-one billion, five hundred fifty-two million, two hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 811 1024 1622 2048 3244 4096 6488 8192 12976 16384 25952 32768 51904 103808 207616 415232 657721 830464 1315442 1660928 2630884 3321856 5261768 6643712 10523536 13287424 21047072 26574848 42094144 84188288 168376576 336753152 673506304 1347012608 2694025216 5388050432 10776100864 21552201728