Search a number
-
+
105426213543 = 3271673431961
BaseRepresentation
bin110001000101111100…
…1000101101010100111
3101002010100000112212200
41202023321011222213
53211403102313133
6120233201345543
710421363013030
oct1421371055247
9332110015780
10105426213543
1140790392702
12185230382b3
139c31a5a2a1
14516198ba87
152b207d1913
hex188be45aa7

105426213543 has 12 divisors (see below), whose sum is σ = 174036924048. Its totient is φ = 60243550560.

The previous prime is 105426213521. The next prime is 105426213553. The reversal of 105426213543 is 345312624501.

105426213543 is a `hidden beast` number, since 1 + 0 + 5 + 42 + 62 + 13 + 543 = 666.

It is not a de Polignac number, because 105426213543 - 26 = 105426213479 is a prime.

It is a super-2 number, since 2×1054262135432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105426213498 and 105426213507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105426213553) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 836715918 + ... + 836716043.

It is an arithmetic number, because the mean of its divisors is an integer number (14503077004).

Almost surely, 2105426213543 is an apocalyptic number.

105426213543 is a deficient number, since it is larger than the sum of its proper divisors (68610710505).

105426213543 is a wasteful number, since it uses less digits than its factorization.

105426213543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673431974 (or 1673431971 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 105426213543 in words is "one hundred five billion, four hundred twenty-six million, two hundred thirteen thousand, five hundred forty-three".

Divisors: 1 3 7 9 21 63 1673431961 5020295883 11714023727 15060887649 35142071181 105426213543