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557873378755 = 572111391489231
BaseRepresentation
bin10000001111000111101…
…10000011010111000011
31222022222011011222001221
420013203312003113003
533120011041110010
61104141122335511
755206423323200
oct10074366032703
91868864158057
10557873378755
111a5657a84540
12901527ba597
13407b8128ca4
141d00349aca7
15e7a1810dda
hex81e3d835c3

557873378755 has 48 divisors (see below), whose sum is σ = 855653137920. Its totient is φ = 345263083200.

The previous prime is 557873378749. The next prime is 557873378773.

557873378755 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 557873378755 - 25 = 557873378723 is a prime.

It is a super-2 number, since 2×5578733787552 (a number of 24 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 370011 + ... + 1119220.

It is an arithmetic number, because the mean of its divisors is an integer number (17826107040).

Almost surely, 2557873378755 is an apocalyptic number.

557873378755 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

557873378755 is a deficient number, since it is larger than the sum of its proper divisors (297779759165).

557873378755 is a wasteful number, since it uses less digits than its factorization.

557873378755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489400 (or 1489393 counting only the distinct ones).

The product of its digits is 864360000, while the sum is 70.

The spelling of 557873378755 in words is "five hundred fifty-seven billion, eight hundred seventy-three million, three hundred seventy-eight thousand, seven hundred fifty-five".

Divisors: 1 5 7 11 35 49 55 77 139 245 385 539 695 973 1529 2695 4865 6811 7645 10703 34055 53515 74921 374605 1489231 7446155 10424617 16381541 52123085 72972319 81907705 114670787 207003109 364861595 573353935 802695509 1035015545 1449021763 2277034199 4013477545 7245108815 10143152341 11385170995 15939239393 50715761705 79696196965 111574675751 557873378755