Search a number
-
+
105833000786 = 26110343119541
BaseRepresentation
bin110001010010000100…
…0110110111101010010
3101010011200110111001212
41202210020312331102
53213221222011121
6120341412300122
710434432443462
oct1424410667522
9333150414055
10105833000786
1140979a73a07
1218617311642
139c98106cb6
14519d9dbba2
152b4638625b
hex18a4236f52

105833000786 has 32 divisors (see below), whose sum is σ = 163304833536. Its totient is φ = 51421464000.

The previous prime is 105833000783. The next prime is 105833000827. The reversal of 105833000786 is 687000338501.

It is a super-2 number, since 2×1058330007862 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (105833000783) 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, 5406176 + ... + 5425716.

It is an arithmetic number, because the mean of its divisors is an integer number (5103276048).

Almost surely, 2105833000786 is an apocalyptic number.

105833000786 is a deficient number, since it is larger than the sum of its proper divisors (57471832750).

105833000786 is a wasteful number, since it uses less digits than its factorization.

105833000786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20138.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 105833000786 in words is "one hundred five billion, eight hundred thirty-three million, seven hundred eighty-six", and thus it is an aban number.

Divisors: 1 2 61 103 122 206 431 862 6283 12566 19541 26291 39082 44393 52582 88786 1192001 2012723 2384002 2707973 4025446 5415946 8422171 16844342 122776103 245552206 513752431 867483613 1027504862 1734967226 52916500393 105833000786