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557341143755 = 51123073000733
BaseRepresentation
bin10000001110001000001…
…11101111001011001011
31222021121001200121220112
420013010013233023023
533112413313100010
61104012230544535
755160301361514
oct10070407571313
91867531617815
10557341143755
111a5404600500
129002450814b
1340731a98836
141cd92913a0b
15e76ec2ba05
hex81c41ef2cb

557341143755 has 24 divisors (see below), whose sum is σ = 737532405456. Its totient is φ = 404018556480.

The previous prime is 557341143731. The next prime is 557341143767.

557341143755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557341143755 - 26 = 557341143691 is a prime.

It is an unprimeable number.

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, 1314632 + ... + 1686101.

It is an arithmetic number, because the mean of its divisors is an integer number (30730516894).

Almost surely, 2557341143755 is an apocalyptic number.

557341143755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557341143755 is a deficient number, since it is larger than the sum of its proper divisors (180191261701).

557341143755 is a wasteful number, since it uses less digits than its factorization.

557341143755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001067 (or 3001056 counting only the distinct ones).

The product of its digits is 4410000, while the sum is 50.

The spelling of 557341143755 in words is "five hundred fifty-seven billion, three hundred forty-one million, one hundred forty-three thousand, seven hundred fifty-five".

Divisors: 1 5 11 55 121 307 605 1535 3377 16885 37147 185735 3000733 15003665 33008063 165040315 363088693 921225031 1815443465 4606125155 10133475341 50667376705 111468228751 557341143755