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480888004128 = 2537715607149
BaseRepresentation
bin1101111111101110010…
…10001001111000100000
31200222020220121201122120
412333313022021320200
530334324312113003
61004530014504240
746512565406640
oct6776712117040
91628226551576
10480888004128
11175a41818094
1279248505080
133646972968c
14193bcc54520
15c797d24853
hex6ff7289e20

480888004128 has 48 divisors (see below), whose sum is σ = 1442664014400. Its totient is φ = 137396572416.

The previous prime is 480888004097. The next prime is 480888004141. The reversal of 480888004128 is 821400888084.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×4808880041283 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357802903 + ... + 357804246.

It is an arithmetic number, because the mean of its divisors is an integer number (30055500300).

Almost surely, 2480888004128 is an apocalyptic number.

480888004128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

480888004128 is an abundant number, since it is smaller than the sum of its proper divisors (961776010272).

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

480888004128 is a wasteful number, since it uses less digits than its factorization.

480888004128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715607169 (or 715607161 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 51.

The spelling of 480888004128 in words is "four hundred eighty billion, eight hundred eighty-eight million, four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 715607149 1431214298 2146821447 2862428596 4293642894 5009250043 5724857192 8587285788 10018500086 11449714384 15027750129 17174571576 20037000172 22899428768 30055500258 34349143152 40074000344 60111000516 68698286304 80148000688 120222001032 160296001376 240444002064 480888004128