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447471358489 = 1721941092
BaseRepresentation
bin1101000001011110101…
…11110001001000011001
31120210000001022020120101
412200233113301020121
524312410131432424
6541322052055401
744220520535041
oct6405727611031
91523001266511
10447471358489
11162853a09681
1272881304561
133327256108c
141792cb48721
15b98e2a6344
hex682f5f1219

447471358489 has 45 divisors (see below), whose sum is σ = 506394642957. Its totient is φ = 395323348608.

The previous prime is 447471358471. The next prime is 447471358519. The reversal of 447471358489 is 984853174744.

The square root of 447471358489 is 668933.

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

It can be written as a sum of positive squares in 4 ways, for example, as 102070665225 + 345400693264 = 319485^2 + 587708^2 .

It is not a de Polignac number, because 447471358489 - 25 = 447471358457 is a prime.

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 447471358489.

It is not an unprimeable number, because it can be changed into a prime (447471358889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4105241767 + ... + 4105241875.

Almost surely, 2447471358489 is an apocalyptic number.

447471358489 is the 668933-rd square number.

447471358489 is the 334467-th centered octagonal number.

It is an amenable number.

447471358489 is a deficient number, since it is larger than the sum of its proper divisors (58923284468).

447471358489 is an frugal number, since it uses more digits than its factorization.

447471358489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 145 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 64.

Multiplying 447471358489 by its sum of digits (64), we get a square (28638166943296 = 53514642).

The spelling of 447471358489 in words is "four hundred forty-seven billion, four hundred seventy-one million, three hundred fifty-eight thousand, four hundred eighty-nine".

Divisors: 1 17 19 109 289 323 361 1853 2071 5491 6137 6859 11881 31501 35207 39349 104329 116603 130321 201977 225739 598519 668933 747631 1982251 2215457 3433609 3837563 4289041 11371861 12709727 14204989 37662769 65238571 72913697 81491779 216065359 241484813 1239532849 1385360243 1548343801 4105241821 23551124131 26321844617 447471358489