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449232381504 = 26362921072
BaseRepresentation
bin1101000100110000101…
…01100010011001000000
31120221112202222111000000
412202120111202121000
524330011442202004
6542212521000000
744312253144654
oct6423025423100
91527482874000
10449232381504
11163577a712a5
1273093023000
133349335512a
1417a58996a64
15ba43bb0c39
hex6898562640

449232381504 has 441 divisors, whose sum is σ = 1397291931217. Its totient is φ = 143229316608.

The previous prime is 449232381497. The next prime is 449232381523. The reversal of 449232381504 is 405183232944.

The square root of 449232381504 is 670248.

It is a perfect power (a square), and thus also a powerful number.

449232381504 is a `hidden beast` number, since 4 + 49 + 2 + 3 + 23 + 81 + 504 = 666.

It can be written as a sum of positive squares in only one way, i.e., 235566563904 + 213665817600 = 485352^2 + 462240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 449232381504.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4198433419 + ... + 4198433525.

Almost surely, 2449232381504 is an apocalyptic number.

449232381504 is the 670248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449232381504

449232381504 is an abundant number, since it is smaller than the sum of its proper divisors (948059549713).

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

449232381504 is an frugal number, since it uses more digits than its factorization.

449232381504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 449232381504 in words is "four hundred forty-nine billion, two hundred thirty-two million, three hundred eighty-one thousand, five hundred four".