Search a number
-
+
558541145855 = 572111013535813
BaseRepresentation
bin10000010000010111010…
…01011000011011111111
31222101200200201001022202
420020023221120123333
533122343013131410
61104331255102115
755232112256100
oct10101351303377
91871620631282
10558541145855
111a596aa08880
12902ba37193b
1340893590c54
141d0680443a7
15e7e0267ca5
hex820ba586ff

558541145855 has 96 divisors (see below), whose sum is σ = 861560566848. Its totient is φ = 343698432000.

The previous prime is 558541145837. The next prime is 558541145861.

558541145855 is nontrivially palindromic in base 10.

558541145855 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 558541145855 - 230 = 557467404031 is a prime.

It is a super-2 number, since 2×5585411458552 (a number of 24 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 558541145855.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96081929 + ... + 96087741.

It is an arithmetic number, because the mean of its divisors is an integer number (8974589238).

Almost surely, 2558541145855 is an apocalyptic number.

558541145855 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

558541145855 is a deficient number, since it is larger than the sum of its proper divisors (303019420993).

558541145855 is a wasteful number, since it uses less digits than its factorization.

558541145855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6297 (or 6290 counting only the distinct ones).

The product of its digits is 16000000, while the sum is 56.

The spelling of 558541145855 in words is "five hundred fifty-eight billion, five hundred forty-one million, one hundred forty-five thousand, eight hundred fifty-five".

Divisors: 1 5 7 11 35 49 55 77 101 245 353 385 505 539 707 1111 1765 2471 2695 3535 3883 4949 5555 5813 7777 12355 17297 19415 24745 27181 29065 35653 38885 40691 54439 63943 86485 135905 178265 190267 203455 249571 272195 284837 319715 392183 447601 587113 951335 1247855 1424185 1746997 1960915 2051989 2238005 2745281 2935565 3133207 4109791 6458243 8734985 10259945 13726405 14363923 15666035 19216967 20548955 22571879 28768537 32291215 45207701 71819615 96084835 100547461 112859395 143842685 158003153 207250889 226038505 316453907 502737305 790015765 1036254445 1106022071 1450756223 1582269535 2279759779 5530110355 7253781115 10155293561 11398798895 15958318453 50776467805 79791592265 111708229171 558541145855