Search a number
-
+
106042847393 = 7157505919073
BaseRepresentation
bin110001011000010100…
…1010111000010100001
3101010201022022210111102
41202300221113002201
53214133432104033
6120414310124145
710442561221250
oct1426051270241
9333638283442
10106042847393
1140a7747185a
1218675650655
139ccc72b0a2
1451bd824797
152b599d7de8
hex18b0a570a1

106042847393 has 16 divisors (see below), whose sum is σ = 121994252160. Its totient is φ = 90292340736.

The previous prime is 106042847371. The next prime is 106042847441. The reversal of 106042847393 is 393748240601.

It is a cyclic number.

It is not a de Polignac number, because 106042847393 - 234 = 88862978209 is a prime.

It is a super-2 number, since 2×1060428473932 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106042847293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5550305 + ... + 5569377.

It is an arithmetic number, because the mean of its divisors is an integer number (7624640760).

Almost surely, 2106042847393 is an apocalyptic number.

It is an amenable number.

106042847393 is a deficient number, since it is larger than the sum of its proper divisors (15951404767).

106042847393 is a wasteful number, since it uses less digits than its factorization.

106042847393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24296.

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 106042847393 in words is "one hundred six billion, forty-two million, eight hundred forty-seven thousand, three hundred ninety-three".

Divisors: 1 7 157 1099 5059 19073 35413 133511 794263 2994461 5559841 20961227 96490307 675432149 15148978199 106042847393