Search a number
-
+
220466510100048 = 24328729159875119
BaseRepresentation
bin110010001000001101011100…
…000001001111011001010000
31001220121101121011011002100210
4302020031130001033121100
5212344110403041200143
62100520525550044120
764303115433634602
oct6210153401173120
91056541534132323
10220466510100048
116427a35a446313
1220887a781a9640
139602b972b7224
143c628c936b172
151a74c8e86a033
hexc8835c04f650

220466510100048 has 40 divisors (see below), whose sum is σ = 569558312502400. Its totient is φ = 73486278238464.

The previous prime is 220466510100047. The next prime is 220466510100071. The reversal of 220466510100048 is 840001015664022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 220466510099979 and 220466510100015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220466510100047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78558568 + ... + 81316551.

It is an arithmetic number, because the mean of its divisors is an integer number (14238957812560).

Almost surely, 2220466510100048 is an apocalyptic number.

It is an amenable number.

220466510100048 is an abundant number, since it is smaller than the sum of its proper divisors (349091802402352).

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

220466510100048 is a wasteful number, since it uses less digits than its factorization.

220466510100048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159903859 (or 159903853 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 220466510100048 in words is "two hundred twenty trillion, four hundred sixty-six billion, five hundred ten million, one hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 28729 57458 86187 114916 172374 229832 344748 459664 689496 1378992 159875119 319750238 479625357 639500476 959250714 1279000952 1918501428 2558001904 3837002856 7674005712 4593052293751 9186104587502 13779156881253 18372209175004 27558313762506 36744418350008 55116627525012 73488836700016 110233255050024 220466510100048