Search a number
-
+
105326953690 = 25741163225149
BaseRepresentation
bin110001000010111111…
…0011100010011011010
3101001212102020121221211
41202011332130103122
53211202200004230
6120215254053334
710416046222510
oct1420576342332
9331772217854
10105326953690
114073a357272
12184b594a24a
139c1731564a
1451527104b0
152b16c2642a
hex1885f9c4da

105326953690 has 64 divisors (see below), whose sum is σ = 223319980800. Its totient is φ = 35015016960.

The previous prime is 105326953681. The next prime is 105326953729. The reversal of 105326953690 is 96359623501.

It is a super-2 number, since 2×1053269536902 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355236 + ... + 580384.

It is an arithmetic number, because the mean of its divisors is an integer number (3489374700).

Almost surely, 2105326953690 is an apocalyptic number.

105326953690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105326953690 is an abundant number, since it is smaller than the sum of its proper divisors (117993027110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105326953690 is a wasteful number, since it uses less digits than its factorization.

105326953690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225367.

The product of its (nonzero) digits is 1312200, while the sum is 49.

The spelling of 105326953690 in words is "one hundred five billion, three hundred twenty-six million, nine hundred fifty-three thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 35 41 70 82 163 205 287 326 410 574 815 1141 1435 1630 2282 2870 5705 6683 11410 13366 33415 46781 66830 93562 225149 233905 450298 467810 1125745 1576043 2251490 3152086 7880215 9231109 15760430 18462218 36699287 46155545 64617763 73398574 92311090 129235526 183496435 256895009 323088815 366992870 513790018 646177630 1284475045 1504670767 2568950090 3009341534 7523353835 10532695369 15046707670 21065390738 52663476845 105326953690