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448303618310049 = 356727535385929
BaseRepresentation
bin110010111101110101101000…
…1111010111011111110100001
32011210022101222221222202100000
41211323223101322323332201
5432230001302241410144
64225243501125250213
7163266603403042665
oct14573532172737641
92153271887882300
10448303618310049
1111a930551315087
12423442b2863969
131631bb08059518
147c9c021c9c8a5
1536c6614e4b769
hex197bad1ebbfa1

448303618310049 has 24 divisors (see below), whose sum is σ = 681555872539360. Its totient is φ = 294408346342176.

The previous prime is 448303618310033. The next prime is 448303618310077. The reversal of 448303618310049 is 940013816303844.

448303618310049 is a `hidden beast` number, since 4 + 4 + 8 + 3 + 0 + 3 + 618 + 3 + 10 + 0 + 4 + 9 = 666.

It is not a de Polignac number, because 448303618310049 - 24 = 448303618310033 is a prime.

It is a super-2 number, since 2×4483036183100492 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 448303618309977 and 448303618310004.

It is not an unprimeable number, because it can be changed into a prime (448303618310099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13767676684 + ... + 13767709245.

Almost surely, 2448303618310049 is an apocalyptic number.

It is an amenable number.

448303618310049 is a deficient number, since it is larger than the sum of its proper divisors (233252254229311).

448303618310049 is an equidigital number, since it uses as much as digits as its factorization.

448303618310049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27535386011 (or 27535385999 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 448303618310049 in words is "four hundred forty-eight trillion, three hundred three billion, six hundred eighteen million, three hundred ten thousand, forty-nine".

Divisors: 1 3 9 27 67 81 201 243 603 1809 5427 16281 27535385929 82606157787 247818473361 743455420083 1844870857243 2230366260249 5534612571729 6691098780747 16603837715187 49811513145561 149434539436683 448303618310049