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10813765320 = 23325239125683
BaseRepresentation
bin10100001001000110…
…01111011011001000
31000220122000012021200
422010203033123020
5134121310442240
64545012304200
7531655326411
oct120443173310
930818005250
1010813765320
11464a0a7a36
122119612060
13103447ca07
14748272808
15434553930
hex2848cf6c8

10813765320 has 96 divisors (see below), whose sum is σ = 35292067200. Its totient is φ = 2871582336.

The previous prime is 10813765267. The next prime is 10813765343. The reversal of 10813765320 is 2356731801.

10813765320 is a `hidden beast` number, since 10 + 81 + 37 + 6 + 532 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23199 + ... + 148881.

It is an arithmetic number, because the mean of its divisors is an integer number (367625700).

Almost surely, 210813765320 is an apocalyptic number.

10813765320 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 10813765320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17646033600).

10813765320 is an abundant number, since it is smaller than the sum of its proper divisors (24478301880).

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

10813765320 is a wasteful number, since it uses less digits than its factorization.

10813765320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125939 (or 125932 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 10813765320 in words is "ten billion, eight hundred thirteen million, seven hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 239 360 478 717 956 1195 1434 1912 2151 2390 2868 3585 4302 4780 5736 7170 8604 9560 10755 14340 17208 21510 28680 43020 86040 125683 251366 377049 502732 628415 754098 1005464 1131147 1256830 1508196 1885245 2262294 2513660 3016392 3770490 4524588 5027320 5655735 7540980 9049176 11311470 15081960 22622940 30038237 45245880 60076474 90114711 120152948 150191185 180229422 240305896 270344133 300382370 360458844 450573555 540688266 600764740 720917688 901147110 1081376532 1201529480 1351720665 1802294220 2162753064 2703441330 3604588440 5406882660 10813765320