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552685585586255 = 51121019044850431
BaseRepresentation
bin111110110101010100010010…
…0000000000101100001001111
32200110220020002201211001220122
41331222220210000011201033
51034420200034402230010
65235244130342335155
7224262134015415542
oct17552504400054117
92613806081731818
10552685585586255
11150114705641a00
1251ba220442a4bb
131a95104768bc54
149a6a1a72a8859
1543d6948e00855
hex1f6aa2400584f

552685585586255 has 24 divisors (see below), whose sum is σ = 736214645763072. Its totient is φ = 397973418920000.

The previous prime is 552685585586249. The next prime is 552685585586279.

552685585586255 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 552685585586255 - 26 = 552685585586191 is a prime.

It is a super-2 number, since 2×5526855855862552 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 552685585586255.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4522364111 + ... + 4522486320.

It is an arithmetic number, because the mean of its divisors is an integer number (30675610240128).

Almost surely, 2552685585586255 is an apocalyptic number.

552685585586255 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

552685585586255 is a deficient number, since it is larger than the sum of its proper divisors (183529060176817).

552685585586255 is a wasteful number, since it uses less digits than its factorization.

552685585586255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9044850559 (or 9044850548 counting only the distinct ones).

The product of its digits is 28800000000, while the sum is 80.

The spelling of 552685585586255 in words is "five hundred fifty-two trillion, six hundred eighty-five billion, five hundred eighty-five million, five hundred eighty-six thousand, two hundred fifty-five".

Divisors: 1 5 11 55 101 121 505 605 1111 5555 12221 61105 9044850431 45224252155 99493354741 497466773705 913529893531 1094426902151 4567649467655 5472134510755 10048828828841 50244144144205 110537117117251 552685585586255