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449502048001 = 532891798001
BaseRepresentation
bin1101000101010000110…
…10001110111100000001
31120222020120101221220001
412202220122032330001
524331040011014001
6542255352520001
744322036236446
oct6425032167401
91528216357801
10449502048001
111636a6207776
12731493b0001
13335071921c6
1417a827119cd
15ba5c6cc001
hex68a868ef01

449502048001 has 12 divisors (see below), whose sum is σ = 463291175340. Its totient is φ = 436065344000.

The previous prime is 449502047999. The next prime is 449502048007. The reversal of 449502048001 is 100840205944.

It can be written as a sum of positive squares in 6 ways, for example, as 74419294401 + 375082753600 = 272799^2 + 612440^2 .

It is not a de Polignac number, because 449502048001 - 21 = 449502047999 is a prime.

It is a super-3 number, since 3×4495020480013 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (449502048007) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 649000 + ... + 1149001.

It is an arithmetic number, because the mean of its divisors is an integer number (38607597945).

Almost surely, 2449502048001 is an apocalyptic number.

It is an amenable number.

449502048001 is a deficient number, since it is larger than the sum of its proper divisors (13789127339).

449502048001 is an equidigital number, since it uses as much as digits as its factorization.

449502048001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798196 (or 1798143 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 449502048001 in words is "four hundred forty-nine billion, five hundred two million, forty-eight thousand, one".

Divisors: 1 53 89 2809 4717 250001 1798001 95294053 160022089 5050584809 8481170717 449502048001