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20056511200 = 2552114155589
BaseRepresentation
bin10010101011011101…
…100001001011100000
31220202202212100001011
4102223131201023200
5312033431324300
613114104350304
71310006350405
oct225335411340
956682770034
1020056511200
1185624177a0
123a78a75394
131b7830290b
14d839d62ac
157c5bceeba
hex4ab7612e0

20056511200 has 144 divisors (see below), whose sum is σ = 54717904080. Its totient is φ = 7115264000.

The previous prime is 20056511197. The next prime is 20056511201. The reversal of 20056511200 is 211565002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20056511201) 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, 333006 + ... + 388594.

It is an arithmetic number, because the mean of its divisors is an integer number (379985445).

Almost surely, 220056511200 is an apocalyptic number.

20056511200 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 20056511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27358952040).

20056511200 is an abundant number, since it is smaller than the sum of its proper divisors (34661392880).

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

20056511200 is a wasteful number, since it uses less digits than its factorization.

20056511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55661 (or 55648 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The spelling of 20056511200 in words is "twenty billion, fifty-six million, five hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 41 44 50 55 80 82 88 100 110 160 164 176 200 205 220 275 328 352 400 410 440 451 550 656 800 820 880 902 1025 1100 1312 1640 1760 1804 2050 2200 2255 3280 3608 4100 4400 4510 6560 7216 8200 8800 9020 11275 14432 16400 18040 22550 32800 36080 45100 55589 72160 90200 111178 180400 222356 277945 360800 444712 555890 611479 889424 1111780 1222958 1389725 1778848 2223560 2279149 2445916 2779450 3057395 4447120 4558298 4891832 5558900 6114790 8894240 9116596 9783664 11117800 11395745 12229580 15286975 18233192 19567328 22235600 22791490 24459160 25070639 30573950 36466384 44471200 45582980 48918320 50141278 56978725 61147900 72932768 91165960 97836640 100282556 113957450 122295800 125353195 182331920 200565112 227914900 244591600 250706390 364663840 401130224 455829800 489183200 501412780 626765975 802260448 911659600 1002825560 1253531950 1823319200 2005651120 2507063900 4011302240 5014127800 10028255600 20056511200