Search a number
-
+
136565832200 = 23527237332
BaseRepresentation
bin111111100101111110…
…1010011101000001000
3111001111111201002011012
41333023331103220020
54214141323112300
6142423143423052
712603141264200
oct1771375235010
9431444632135
10136565832200
1152a0a941036
1222573754a88
13cb55265145
1468774c9400
1538444ba435
hex1fcbf53a08

136565832200 has 108 divisors (see below), whose sum is σ = 369453804615. Its totient is φ = 46810028160.

The previous prime is 136565832197. The next prime is 136565832203. The reversal of 136565832200 is 2238565631.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (136565832197) and next prime (136565832203).

It can be written as a sum of positive squares in 5 ways, for example, as 55628996164 + 80936836036 = 235858^2 + 284494^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=261310.

It is not an unprimeable number, because it can be changed into a prime (136565832203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36581534 + ... + 36585266.

Almost surely, 2136565832200 is an apocalyptic number.

136565832200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136565832200

136565832200 is an abundant number, since it is smaller than the sum of its proper divisors (232887972415).

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

136565832200 is an frugal number, since it uses more digits than its factorization.

136565832200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 136565832200 in words is "one hundred thirty-six billion, five hundred sixty-five million, eight hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 3733 4900 7466 9800 14932 18665 26131 29864 37330 52262 74660 93325 104524 130655 149320 182917 186650 209048 261310 365834 373300 522620 653275 731668 746600 914585 1045240 1306550 1463336 1829170 2613100 3658340 4572925 5226200 7316680 9145850 13935289 18291700 27870578 36583400 55741156 69676445 97547023 111482312 139352890 195094046 278705780 348382225 390188092 487735115 557411560 682829161 696764450 780376184 975470230 1365658322 1393528900 1950940460 2438675575 2731316644 2787057800 3414145805 3901880920 4877351150 5462633288 6828291610 9754702300 13656583220 17070729025 19509404600 27313166440 34141458050 68282916100 136565832200