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485456382009 = 3237262772
BaseRepresentation
bin1110001000001110111…
…01001000100000111001
31201102001021211100222100
413010013131020200321
530423203313211014
61011003211014013
750034030106614
oct7040735104071
91642037740870
10485456382009
11177976520aa5
127a10243a309
1336a17024561
14196d387d17b
15c963e1d009
hex7107748839

485456382009 has 27 divisors (see below), whose sum is σ = 720793565037. Its totient is φ = 314840460384.

The previous prime is 485456381999. The next prime is 485456382049. The reversal of 485456382009 is 900283654584.

The square root of 485456382009 is 696747.

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

485456382009 is a `hidden beast` number, since 4 + 8 + 54 + 563 + 8 + 20 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 381179055609 + 104277326400 = 617397^2 + 322920^2 .

It is not a de Polignac number, because 485456382009 - 29 = 485456381497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (485456382049) 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 26 ways as a sum of consecutive naturals, for example, 77335779 + ... + 77342055.

Almost surely, 2485456382009 is an apocalyptic number.

485456382009 is the 696747-th square number.

485456382009 is the 348374-th centered octagonal number.

It is an amenable number.

485456382009 is a deficient number, since it is larger than the sum of its proper divisors (235337183028).

485456382009 is an frugal number, since it uses more digits than its factorization.

485456382009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12634 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 485456382009 in words is "four hundred eighty-five billion, four hundred fifty-six million, three hundred eighty-two thousand, nine".

Divisors: 1 3 9 37 111 333 1369 4107 6277 12321 18831 56493 232249 696747 2090241 8593213 25779639 39400729 77338917 118202187 354606561 1457826973 4373480919 13120442757 53939598001 161818794003 485456382009