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552553355255 = 511216354110357
BaseRepresentation
bin10000000101001101011…
…11110001011111110111
31221211020101121202210112
420002212233301133313
533023112124332010
61101501200013235
754630534011456
oct10024657613767
91854211552715
10552553355255
111a3377a67100
128b10900121b
134014abab5a5
141ca5aad2b9d
15e58e742a05
hex80a6bf17f7

552553355255 has 48 divisors (see below), whose sum is σ = 734720119392. Its totient is φ = 398614867200.

The previous prime is 552553355177. The next prime is 552553355257.

It is a happy number.

552553355255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 552553355255 - 214 = 552553338871 is a prime.

It is a super-2 number, since 2×5525533552552 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (552553355257) 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 47 ways as a sum of consecutive naturals, for example, 53345537 + ... + 53355893.

It is an arithmetic number, because the mean of its divisors is an integer number (15306669154).

Almost surely, 2552553355255 is an apocalyptic number.

552553355255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

552553355255 is a deficient number, since it is larger than the sum of its proper divisors (182166764137).

552553355255 is a wasteful number, since it uses less digits than its factorization.

552553355255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11088 (or 11077 counting only the distinct ones).

The product of its digits is 14062500, while the sum is 50.

The spelling of 552553355255 in words is "five hundred fifty-two billion, five hundred fifty-three million, three hundred fifty-five thousand, two hundred fifty-five".

Divisors: 1 5 11 55 121 163 541 605 815 1793 2705 5951 8965 10357 19723 29755 51785 65461 88183 98615 113927 327305 440915 569635 970013 1253197 1688191 4850065 5603137 6265985 8440955 10670143 18570101 28015685 53350715 61634507 92850505 204271111 308172535 677979577 913311331 1021355555 3389897885 4566556655 10046424641 50232123205 110510671051 552553355255