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130810610826 = 23372322676637
BaseRepresentation
bin111100111010011101…
…0111000010010001010
3110111122102020112122000
41321310322320102022
54120400004021301
6140032113211430
712310415563140
oct1716472702212
9414572215560
10130810610826
11505271a8035
1221428260b76
13c448b012cc
14648cdd7590
1536090d4786
hex1e74eb848a

130810610826 has 128 divisors (see below), whose sum is σ = 346866831360. Its totient is φ = 35728330176.

The previous prime is 130810610789. The next prime is 130810610873. The reversal of 130810610826 is 628016018031.

130810610826 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 10 + 610 + 8 + 26 = 666.

It is a super-2 number, since 2×1308106108262 (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 63 ways as a sum of consecutive naturals, for example, 19705980 + ... + 19712616.

It is an arithmetic number, because the mean of its divisors is an integer number (2709897120).

Almost surely, 2130810610826 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130810610826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173433415680).

130810610826 is an abundant number, since it is smaller than the sum of its proper divisors (216056220534).

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

130810610826 is a wasteful number, since it uses less digits than its factorization.

130810610826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8945 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 130810610826 its reverse (628016018031), we get a palindrome (758826628857).

The spelling of 130810610826 in words is "one hundred thirty billion, eight hundred ten million, six hundred ten thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 1242 1449 2267 2898 4347 4534 6637 6801 8694 13274 13602 15869 19911 20403 31738 39822 40806 46459 47607 52141 59733 61209 92918 95214 104282 119466 122418 139377 142821 152651 156423 179199 278754 285642 305302 312846 358398 364987 418131 428463 457953 469269 729974 836262 856926 915906 938538 1068557 1094961 1254393 1373859 1407807 2137114 2189922 2508786 2747718 2815614 3205671 3284883 4121577 6411342 6569766 8243154 9617013 9854649 15046079 19234026 19709298 28851039 30092158 45138237 57702078 90276474 105322553 135414711 210645106 270829422 315967659 346059817 406244133 631935318 692119634 812488266 947902977 1038179451 1895805954 2076358902 2422418719 2843708931 3114538353 4844837438 5687417862 6229076706 7267256157 9343615059 14534512314 18687230118 21801768471 43603536942 65405305413 130810610826