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207683853020 = 225722319347741
BaseRepresentation
bin1100000101101011101…
…1000001101011011100
3201212001211210212021022
43001122323001223130
511400314031244040
6235224133423312
721001412423600
oct3013273015334
9655054725238
10207683853020
1180095136756
1234300a9ab38
131677a1cca77
14a0a27b1500
155607d216b5
hex305aec1adc

207683853020 has 144 divisors (see below), whose sum is σ = 532154484288. Its totient is φ = 67755663360.

The previous prime is 207683852993. The next prime is 207683853037. The reversal of 207683853020 is 20358386702.

207683853020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4326350 + ... + 4374090.

It is an arithmetic number, because the mean of its divisors is an integer number (3695517252).

Almost surely, 2207683853020 is an apocalyptic number.

207683853020 is a gapful number since it is divisible by the number (20) 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 207683853020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266077242144).

207683853020 is an abundant number, since it is smaller than the sum of its proper divisors (324470631268).

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

207683853020 is a wasteful number, since it uses less digits than its factorization.

207683853020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47980 (or 47971 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 207683853020 in words is "two hundred seven billion, six hundred eighty-three million, eight hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 193 196 230 245 322 386 460 490 644 772 805 965 980 1127 1351 1610 1930 2254 2702 3220 3860 4439 4508 5404 5635 6755 8878 9457 11270 13510 17756 18914 22195 22540 27020 31073 37828 44390 47285 47741 62146 88780 94570 95482 124292 155365 189140 190964 217511 238705 310730 334187 435022 477410 621460 668374 870044 954820 1087555 1098043 1336748 1670935 2175110 2196086 2339309 3341870 4350220 4392172 4678618 5490215 6683740 7686301 9214013 9357236 10980430 11696545 15372602 18428026 21960860 23393090 30745204 36856052 38431505 46070065 46786180 53804107 64498091 76863010 92140130 107608214 128996182 153726020 184280260 211922299 215216428 257992364 269020535 322490455 423844598 451486637 538041070 644980910 847689196 902973274 1059611495 1076082140 1289961820 1483456093 1805946548 2119222990 2257433185 2966912186 4238445980 4514866370 5933824372 7417280465 9029732740 10384192651 14834560930 20768385302 29669121860 41536770604 51920963255 103841926510 207683853020