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553441144355 = 51123779242069
BaseRepresentation
bin10000000110110111010…
…10011010111000100011
31221220112021011010111022
420003123222122320203
533031421413104410
61102125232240055
754661534052051
oct10033352327043
91856467133438
10553441144355
111a3793109200
128b3163a002b
134025cabac98
141cb029911d1
15e5e265b455
hex80dba9ae23

553441144355 has 24 divisors (see below), whose sum is σ = 730189630800. Its totient is φ = 402394477760.

The previous prime is 553441144349. The next prime is 553441144357.

553441144355 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 553441144355 - 210 = 553441143331 is a prime.

It is not an unprimeable number, because it can be changed into a prime (553441144357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2165261 + ... + 2407329.

It is an arithmetic number, because the mean of its divisors is an integer number (30424567950).

Almost surely, 2553441144355 is an apocalyptic number.

553441144355 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

553441144355 is a deficient number, since it is larger than the sum of its proper divisors (176748486445).

553441144355 is a wasteful number, since it uses less digits than its factorization.

553441144355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245875 (or 245864 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 44.

It can be divided in two parts, 553441 and 144355, that added together give a palindrome (697796).

The spelling of 553441144355 in words is "five hundred fifty-three billion, four hundred forty-one million, one hundred forty-four thousand, three hundred fifty-five".

Divisors: 1 5 11 55 121 605 3779 18895 41569 207845 242069 457259 1210345 2286295 2662759 13313795 29290349 146451745 914778751 4573893755 10062566261 50312831305 110688228871 553441144355