Search a number
-
+
450646002248 = 23132182572
BaseRepresentation
bin1101000111011001001…
…10000100101001001000
31121002012021221212002212
412203230212010221020
524340410334032443
6543005055444252
744362266550151
oct6435446045110
91532167855085
10450646002248
11164132a13502
1273408526688
133365a192500
1417b50612928
15bac7d46618
hex68ec984a48

450646002248 has 36 divisors (see below), whose sum is σ = 915008162715. Its totient is φ = 207979070208.

The previous prime is 450646002221. The next prime is 450646002259. The reversal of 450646002248 is 842200646054.

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 5 ways, for example, as 16631197444 + 434014804804 = 128962^2 + 658798^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=474682.

It is a super-3 number, since 3×4506460022483 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24674336 + ... + 24692592.

Almost surely, 2450646002248 is an apocalyptic number.

It is an amenable number.

450646002248 is an abundant number, since it is smaller than the sum of its proper divisors (464362160467).

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

450646002248 is an frugal number, since it uses more digits than its factorization.

450646002248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36546 (or 18272 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

The spelling of 450646002248 in words is "four hundred fifty billion, six hundred forty-six million, two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 18257 36514 73028 146056 237341 474682 949364 1898728 3085433 6170866 12341732 24683464 333318049 666636098 1333272196 2666544392 4333134637 8666269274 17332538548 34665077096 56330750281 112661500562 225323001124 450646002248