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52566420105 = 32510111565769
BaseRepresentation
bin110000111101001100…
…111110101010001001
312000200102222211011100
4300331030332222021
51330124000420410
640052040452013
73540434125053
oct607514765211
9160612884140
1052566420105
1120325412501
12a23047a009
134c596863c4
1427895108d3
151579d408c0
hexc3d33ea89

52566420105 has 24 divisors (see below), whose sum is σ = 92017266120. Its totient is φ = 27757843200.

The previous prime is 52566420059. The next prime is 52566420157. The reversal of 52566420105 is 50102466525.

52566420105 is a `hidden beast` number, since 5 + 2 + 5 + 6 + 642 + 0 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7359580944 + 45206839161 = 85788^2 + 212619^2 .

It is not a de Polignac number, because 52566420105 - 213 = 52566411913 is a prime.

It is a super-2 number, since 2×525664201052 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52566420105.

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, 5778340 + ... + 5787429.

It is an arithmetic number, because the mean of its divisors is an integer number (3834052755).

Almost surely, 252566420105 is an apocalyptic number.

It is an amenable number.

52566420105 is a deficient number, since it is larger than the sum of its proper divisors (39450846015).

52566420105 is a wasteful number, since it uses less digits than its factorization.

52566420105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11565881 (or 11565878 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

It can be divided in two parts, 52566420 and 105, that added together give a palindrome (52566525).

The spelling of 52566420105 in words is "fifty-two billion, five hundred sixty-six million, four hundred twenty thousand, one hundred five".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 4545 11565769 34697307 57828845 104091921 173486535 520459605 1168142669 3504428007 5840713345 10513284021 17522140035 52566420105