Search a number
-
+
105544225450 = 252172916725639
BaseRepresentation
bin110001001001011101…
…1010001001010101010
3101002102120002011210001
41202102323101022222
53212123310203300
6120253015013214
710424325054046
oct1422273211252
9332376064701
10105544225450
1140840a66804
121855666a20a
139c50339311
14517350b026
152b2ad4316a
hex1892ed12aa

105544225450 has 96 divisors (see below), whose sum is σ = 216323654400. Its totient is φ = 38132935680.

The previous prime is 105544225447. The next prime is 105544225481. The reversal of 105544225450 is 54522445501.

It is a super-2 number, since 2×1055442254502 (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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4103731 + ... + 4129369.

It is an arithmetic number, because the mean of its divisors is an integer number (2253371400).

Almost surely, 2105544225450 is an apocalyptic number.

105544225450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105544225450 is an abundant number, since it is smaller than the sum of its proper divisors (110779428950).

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

105544225450 is a wasteful number, since it uses less digits than its factorization.

105544225450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25864 (or 25859 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 37.

The spelling of 105544225450 in words is "one hundred five billion, five hundred forty-four million, two hundred twenty-five thousand, four hundred fifty".

Divisors: 1 2 5 10 17 25 29 34 50 58 85 145 167 170 290 334 425 493 725 835 850 986 1450 1670 2465 2839 4175 4843 4930 5678 8350 9686 12325 14195 24215 24650 25639 28390 48430 51278 70975 82331 121075 128195 141950 164662 242150 256390 411655 435863 640975 743531 823310 871726 1281950 1487062 2058275 2179315 3717655 4116550 4281713 4358630 7435310 8563426 10896575 12640027 18588275 21408565 21793150 25280054 37176550 42817130 63200135 72789121 107042825 124169677 126400270 145578242 214085650 248339354 316000675 363945605 620848385 632001350 727891210 1241696770 1819728025 2110884509 3104241925 3639456050 4221769018 6208483850 10554422545 21108845090 52772112725 105544225450