Search a number
-
+
105426741345 = 357399510757
BaseRepresentation
bin110001000101111101…
…1000110100001100001
3101002010101000100212220
41202023323012201201
53211403221210340
6120233220541253
710421400341562
oct1421373064141
9332111010786
10105426741345
1140790713202
1218523251829
139c31bb35b3
145161a88169
152b20887ed0
hex188bec6861

105426741345 has 16 divisors (see below), whose sum is σ = 168911062080. Its totient is φ = 56151503424.

The previous prime is 105426741341. The next prime is 105426741377. The reversal of 105426741345 is 543147624501.

It is not a de Polignac number, because 105426741345 - 22 = 105426741341 is a prime.

It is a super-2 number, since 2×1054267413452 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105426741297 and 105426741306.

It is not an unprimeable number, because it can be changed into a prime (105426741341) 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 15 ways as a sum of consecutive naturals, for example, 4744294 + ... + 4766463.

It is an arithmetic number, because the mean of its divisors is an integer number (10556941380).

Almost surely, 2105426741345 is an apocalyptic number.

105426741345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105426741345 is a deficient number, since it is larger than the sum of its proper divisors (63484320735).

105426741345 is an equidigital number, since it uses as much as digits as its factorization.

105426741345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511504.

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 105426741345 in words is "one hundred five billion, four hundred twenty-six million, seven hundred forty-one thousand, three hundred forty-five".

Divisors: 1 3 5 15 739 2217 3695 11085 9510757 28532271 47553785 142661355 7028449423 21085348269 35142247115 105426741345