Search a number
-
+
105043460336 = 24173279113597
BaseRepresentation
bin110000111010100010…
…1000000000011110000
3101001010122210200011222
41201311011000003300
53210112111212321
6120131205524212
710406034452333
oct1416505000360
9331118720158
10105043460336
1140604327541
1218436a13668
139ba0676bb9
145126bd661a
152aebdc83ab
hex18751400f0

105043460336 has 40 divisors (see below), whose sum is σ = 204786532704. Its totient is φ = 52195587840.

The previous prime is 105043460329. The next prime is 105043460407. The reversal of 105043460336 is 633064340501.

It is a super-2 number, since 2×1050434603362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105043460296 and 105043460305.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7718690 + ... + 7732286.

Almost surely, 2105043460336 is an apocalyptic number.

105043460336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105043460336 is a deficient number, since it is larger than the sum of its proper divisors (99743072368).

105043460336 is a wasteful number, since it uses less digits than its factorization.

105043460336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16569 (or 16563 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The spelling of 105043460336 in words is "one hundred five billion, forty-three million, four hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 173 346 692 1384 2768 2791 5582 11164 13597 22328 27194 44656 54388 108776 217552 482843 965686 1931372 2352281 3862744 4704562 7725488 9409124 18818248 37636496 37949227 75898454 151796908 303593816 607187632 6565216271 13130432542 26260865084 52521730168 105043460336