Search a number
-
+
105235526744 = 2343330379771
BaseRepresentation
bin110001000000010000…
…1101011010001011000
3101001122001012122202122
41202000201223101120
53211010243323434
6120202230320412
710413556134605
oct1420041532130
9331561178678
10105235526744
11406a2790907
121848b1b9108
139c013b406a
1451445116ac
152b0dbb6c2e
hex188086b458

105235526744 has 16 divisors (see below), whose sum is σ = 197772315720. Its totient is φ = 52496242560.

The previous prime is 105235526723. The next prime is 105235526749. The reversal of 105235526744 is 447625532501.

It is a super-2 number, since 2×1052355267442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105235526695 and 105235526704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105235526749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15186422 + ... + 15193349.

Almost surely, 2105235526744 is an apocalyptic number.

It is an amenable number.

105235526744 is a deficient number, since it is larger than the sum of its proper divisors (92536788976).

105235526744 is a wasteful number, since it uses less digits than its factorization.

105235526744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30380210 (or 30380206 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 44.

The spelling of 105235526744 in words is "one hundred five billion, two hundred thirty-five million, five hundred twenty-six thousand, seven hundred forty-four".

Divisors: 1 2 4 8 433 866 1732 3464 30379771 60759542 121519084 243038168 13154440843 26308881686 52617763372 105235526744