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532776224768 = 2111274
BaseRepresentation
bin1111100000010111111…
…00000000100000000000
31212221012002110110001012
413300023330000200000
532212111203143033
61044430511300052
753330456122064
oct7601374004000
91787162413035
10532776224768
11195a49320267
128730981a628
133b318737508
141bb02263aa4
15dcd334c248
hex7c0bf00800

532776224768 has 60 divisors (see below), whose sum is σ = 1073747005695. Its totient is φ = 264290568192.

The previous prime is 532776224767. The next prime is 532776224791. The reversal of 532776224768 is 867422677235.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 266388112384 + 266388112384 = 516128^2 + 516128^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=516128.

It is a super-3 number, since 3×5327762247683 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (532776224767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 4195088321 + ... + 4195088447.

Almost surely, 2532776224768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532776224768

532776224768 is an abundant number, since it is smaller than the sum of its proper divisors (540970780927).

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

532776224768 is an frugal number, since it uses more digits than its factorization.

532776224768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 129 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 59.

The spelling of 532776224768 in words is "five hundred thirty-two billion, seven hundred seventy-six million, two hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 512 1016 1024 2032 2048 4064 8128 16129 16256 32258 32512 64516 65024 129032 130048 258064 260096 516128 1032256 2048383 2064512 4096766 4129024 8193532 8258048 16387064 16516096 32774128 33032192 65548256 131096512 260144641 262193024 520289282 524386048 1040578564 1048772096 2081157128 2097544192 4162314256 4195088384 8324628512 16649257024 33298514048 66597028096 133194056192 266388112384 532776224768