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480878850050753 = 7119790117144967
BaseRepresentation
bin110110101010110110101010…
…1000010011000101011000001
32100001122120100212112110221112
41231111231111002120223001
51001012204341103111003
64422424405522133105
7203201231122166630
oct15525552502305301
92301576325473845
10480878850050753
1112a24a636405730
1245b25661ab1195
13178428b11724ab
1486a69366bb517
153a8db683c73d8
hex1b55b55098ac1

480878850050753 has 32 divisors (see below), whose sum is σ = 605785368803328. Its totient is φ = 370806587481600.

The previous prime is 480878850050741. The next prime is 480878850050801. The reversal of 480878850050753 is 357050058878084.

It is a cyclic number.

It is not a de Polignac number, because 480878850050753 - 226 = 480878782941889 is a prime.

It is a super-3 number, since 3×4808788500507533 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (480878850050353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63730676 + ... + 70875642.

It is an arithmetic number, because the mean of its divisors is an integer number (18930792775104).

Almost surely, 2480878850050753 is an apocalyptic number.

It is an amenable number.

480878850050753 is a deficient number, since it is larger than the sum of its proper divisors (124906518752575).

480878850050753 is a wasteful number, since it uses less digits than its factorization.

480878850050753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154093.

The product of its (nonzero) digits is 301056000, while the sum is 68.

The spelling of 480878850050753 in words is "four hundred eighty trillion, eight hundred seventy-eight billion, eight hundred fifty million, fifty thousand, seven hundred fifty-three".

Divisors: 1 7 11 77 97 679 1067 7469 9011 63077 99121 693847 874067 6118469 7144967 9614737 50014769 67303159 78594637 550162459 693061799 4851432593 7623679789 53365758523 64383297637 450683083459 708216274007 4957513918049 6245179870789 43716259095523 68696978578679 480878850050753