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585800421376 = 212119592
BaseRepresentation
bin10001000011001000110…
…11010001000000000000
32002000001102211201111211
420201210123101000000
534044204401441001
61125040224015504
760215452265422
oct10414433210000
92060042751454
10585800421376
1120648907aa55
1295647461594
1343318bb1091
14204d2498812
1510388465351
hex88646d1000

585800421376 has 39 divisors (see below), whose sum is σ = 1171555789431. Its totient is φ = 292875718656.

The previous prime is 585800421347. The next prime is 585800421379. The reversal of 585800421376 is 673124008585.

It is a happy number.

The square root of 585800421376 is 765376.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (585800421379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 48978085 + ... + 48990043.

Almost surely, 2585800421376 is an apocalyptic number.

585800421376 is the 765376-th square number.

It is an amenable number.

585800421376 is a deficient number, since it is larger than the sum of its proper divisors (585755368055).

585800421376 is an frugal number, since it uses more digits than its factorization.

585800421376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23942 (or 11961 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

Multiplying 585800421376 by its sum of digits (49), we get a square (28704220647424 = 53576322).

The spelling of 585800421376 in words is "five hundred eighty-five billion, eight hundred million, four hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 11959 23918 47836 95672 191344 382688 765376 1530752 3061504 6123008 12246016 24492032 48984064 143017681 286035362 572070724 1144141448 2288282896 4576565792 9153131584 18306263168 36612526336 73225052672 146450105344 292900210688 585800421376