Search a number
-
+
41897623105 = 5131757765713
BaseRepresentation
bin100111000001010010…
…101111111001000001
311000010220202210000201
4213001102233321001
51141301242414410
631125243245201
73012155630452
oct470122577101
9130126683021
1041897623105
11168501303a8
128153519801
133c49263280
142056617129
1511533c583a
hex9c14afe41

41897623105 has 32 divisors (see below), whose sum is σ = 57429830304. Its totient is φ = 29068886016.

The previous prime is 41897623087. The next prime is 41897623109. The reversal of 41897623105 is 50132679814.

It can be written as a sum of positive squares in 16 ways, for example, as 97002801 + 41800620304 = 9849^2 + 204452^2 .

It is a 3-Lehmer number, since φ(41897623105) divides (41897623105-1)3.

It is a cyclic number.

It is not a de Polignac number, because 41897623105 - 217 = 41897492033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41897623109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604729 + ... + 670441.

It is an arithmetic number, because the mean of its divisors is an integer number (1794682197).

It is a 2-persistent number, because it is pandigital, and so is 2⋅41897623105 = 83795246210, but 3⋅41897623105 = 125692869315 is not.

Almost surely, 241897623105 is an apocalyptic number.

It is an amenable number.

41897623105 is a deficient number, since it is larger than the sum of its proper divisors (15532207199).

41897623105 is a wasteful number, since it uses less digits than its factorization.

41897623105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66325.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 41897623105 in words is "forty-one billion, eight hundred ninety-seven million, six hundred twenty-three thousand, one hundred five".

Divisors: 1 5 13 17 65 85 221 577 1105 2885 7501 9809 37505 49045 65713 127517 328565 637585 854269 1117121 4271345 5585605 14522573 37916401 72612865 189582005 492913213 644578817 2464566065 3222894085 8379524621 41897623105