Search a number
-
+
450254362050 = 23252618322381
BaseRepresentation
bin1101000110101010100…
…00000101010111000010
31121001012000000110202100
412203111100011113002
524334110104041200
6542502145331230
744346502634043
oct6432520052702
91531160013670
10450254362050
11163a51938419
1273319336b16
13335c6cba04c
1417b145c68ca
15baa3784d00
hex68d54055c2

450254362050 has 216 divisors, whose sum is σ = 1245028843188. Its totient is φ = 116627616000.

The previous prime is 450254362049. The next prime is 450254362073. The reversal of 450254362050 is 50263452054.

450254362050 is a `hidden beast` number, since 4 + 5 + 0 + 2 + 543 + 62 + 0 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 607671801 + 449646690249 = 24651^2 + 670557^2 .

It is a junction number, because it is equal to n+sod(n) for n = 450254361996 and 450254362014.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 189101860 + ... + 189104240.

Almost surely, 2450254362050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450254362050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622514421594).

450254362050 is an abundant number, since it is smaller than the sum of its proper divisors (794774481138).

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

450254362050 is a wasteful number, since it uses less digits than its factorization.

450254362050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 450254362050 in words is "four hundred fifty billion, two hundred fifty-four million, three hundred sixty-two thousand, fifty".