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20507727400 = 2352597332371
BaseRepresentation
bin10011000110010110…
…110001011000101000
31221221012220111022021
4103012112301120220
5313444434234100
613230543434224
71324125543466
oct230626613050
957835814267
1020507727400
118774094146
123b83bb5974
131c1a937054
14dc78cd836
1580060da1a
hex4c65b1628

20507727400 has 96 divisors (see below), whose sum is σ = 48575239200. Its totient is φ = 8049657600.

The previous prime is 20507727391. The next prime is 20507727403. The reversal of 20507727400 is 472770502.

It is a super-2 number, since 2×205077274002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20507727403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8648215 + ... + 8650585.

It is an arithmetic number, because the mean of its divisors is an integer number (505992075).

Almost surely, 220507727400 is an apocalyptic number.

20507727400 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 20507727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24287619600).

20507727400 is an abundant number, since it is smaller than the sum of its proper divisors (28067511800).

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

20507727400 is a wasteful number, since it uses less digits than its factorization.

20507727400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 34.

The spelling of 20507727400 in words is "twenty billion, five hundred seven million, seven hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 472 590 733 1180 1466 1475 2360 2371 2932 2950 3665 4742 5864 5900 7330 9484 11800 11855 14660 18325 18968 23710 29320 36650 43247 47420 59275 73300 86494 94840 118550 139889 146600 172988 216235 237100 279778 345976 432470 474200 559556 699445 864940 1081175 1119112 1398890 1729880 1737943 2162350 2797780 3475886 3497225 4324700 5595560 6951772 6994450 8649400 8689715 13903544 13988900 17379430 27977800 34758860 43448575 69517720 86897150 102538637 173794300 205077274 347588600 410154548 512693185 820309096 1025386370 2050772740 2563465925 4101545480 5126931850 10253863700 20507727400