Search a number
-
+
449030896650 = 233527259311447
BaseRepresentation
bin1101000100011000101…
…00111011110000001010
31120221000201211222202000
412202030110323300022
524324103402143100
6542140522251430
744304255434400
oct6421424736012
91527021758660
10449030896650
11163484264796
1273037656b76
133346069b01b
1417a39d09470
15ba31161900
hex688c53bc0a

449030896650 has 288 divisors, whose sum is σ = 1441895748480. Its totient is φ = 102453603840.

The previous prime is 449030896607. The next prime is 449030896661. The reversal of 449030896650 is 56698030944.

449030896650 is a `hidden beast` number, since 4 + 490 + 3 + 0 + 8 + 96 + 65 + 0 = 666.

It is a super-2 number, since 2×4490308966502 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 39221227 + ... + 39232673.

It is an arithmetic number, because the mean of its divisors is an integer number (5006582460).

Almost surely, 2449030896650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449030896650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720947874240).

449030896650 is an abundant number, since it is smaller than the sum of its proper divisors (992864851830).

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

449030896650 is a wasteful number, since it uses less digits than its factorization.

449030896650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12075 (or 12057 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 449030896650 in words is "four hundred forty-nine billion, thirty million, eight hundred ninety-six thousand, six hundred fifty".