Search a number
-
+
10636109281980 = 22325713649335121
BaseRepresentation
bin1001101011000110100110…
…0000111111101010111100
31101122210122202001220001200
42122301221200333222330
52343230222434010410
634342054450335500
72145301463131020
oct232615140775274
941583582056050
1010636109281980
113430826452616
12123942358a590
135c1c99a8a170
1428ab0cd56380
15136a09e0c3c0
hex9ac6983fabc

10636109281980 has 144 divisors (see below), whose sum is σ = 39708141380544. Its totient is φ = 2244102174720.

The previous prime is 10636109281979. The next prime is 10636109282021. The reversal of 10636109281980 is 8918290163601.

10636109281980 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 610 + 9 + 2 + 8 + 19 + 8 + 0 = 666.

It is a super-2 number, since 2×106361092819802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324651181 + ... + 324683940.

Almost surely, 210636109281980 is an apocalyptic number.

10636109281980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10636109281980 is an abundant number, since it is smaller than the sum of its proper divisors (29072032098564).

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

10636109281980 is a wasteful number, since it uses less digits than its factorization.

10636109281980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649335156 (or 649335151 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 10636109281980 in words is "ten trillion, six hundred thirty-six billion, one hundred nine million, two hundred eighty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 649335121 1298670242 1948005363 2597340484 3246675605 3896010726 4545345847 5844016089 6493351210 7792021452 8441356573 9090691694 9740026815 11688032178 12986702420 13636037541 16882713146 18181383388 19480053630 22726729235 23376064356 25324069719 27272075082 29220080445 33765426292 38960107260 40908112623 42206782865 45453458470 50648139438 54544150164 58440160890 59089496011 68180187705 75972209157 81816225246 84413565730 90906916940 101296278876 116880321780 118178992022 126620348595 136360375410 151944418314 163632450492 168827131460 177268488033 204540563115 236357984044 253240697190 272720750820 295447480055 303888836628 354536976066 379861045785 409081126230 506481394380 531805464099 590894960110 709073952132 759722091570 818162252460 886342440165 1063610928198 1181789920220 1519444183140 1772684880330 2127221856396 2659027320495 3545369760660 5318054640990 10636109281980