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10136795850 = 2325297263883
BaseRepresentation
bin10010111000011001…
…10011101011001010
3222011110011120202100
421130030303223022
5131230004431400
64353510414230
7506125225446
oct113414635312
928143146670
1010136795850
114331a58835
121b6a961376
13c5714526c
146c23b1826
153e4dd0100
hex25c333aca

10136795850 has 144 divisors (see below), whose sum is σ = 27650855232. Its totient is φ = 2662087680.

The previous prime is 10136795839. The next prime is 10136795899. The reversal of 10136795850 is 5859763101.

It is a happy number.

10136795850 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 67 + 9 + 585 + 0 = 666.

10136795850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10136795796 and 10136795805.

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 71 ways as a sum of consecutive naturals, for example, 11479509 + ... + 11480391.

It is an arithmetic number, because the mean of its divisors is an integer number (192019828).

Almost surely, 210136795850 is an apocalyptic number.

10136795850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10136795850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825427616).

10136795850 is an abundant number, since it is smaller than the sum of its proper divisors (17514059382).

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

10136795850 is a wasteful number, since it uses less digits than its factorization.

10136795850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 10136795850 in words is "ten billion, one hundred thirty-six million, seven hundred ninety-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 97 150 194 225 263 291 450 485 526 582 789 873 883 970 1315 1455 1578 1746 1766 2367 2425 2630 2649 2910 3945 4365 4415 4734 4850 5298 6575 7275 7890 7947 8730 8830 11835 13150 13245 14550 15894 19725 21825 22075 23670 25511 26490 39450 39735 43650 44150 51022 59175 66225 76533 79470 85651 118350 127555 132450 153066 171302 198675 229599 232229 255110 256953 382665 397350 428255 459198 464458 513906 637775 696687 765330 770859 856510 1147995 1161145 1275550 1284765 1393374 1541718 1913325 2090061 2141275 2295990 2322290 2569530 3483435 3826650 3854295 4180122 4282550 5739975 5805725 6423825 6966870 7708590 10450305 11479950 11611450 12847650 17417175 19271475 20900610 22526213 34834350 38542950 45052426 52251525 67578639 104503050 112631065 135157278 202735917 225262130 337893195 405471834 563155325 675786390 1013679585 1126310650 1689465975 2027359170 3378931950 5068397925 10136795850