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20718771200 = 210525031609
BaseRepresentation
bin10011010010111011…
…110101110000000000
31222110221000121222022
4103102323311300000
5314413001134300
613303523101012
71332300435521
oct232273656000
958427017868
1020718771200
11887222a506
124022811768
131c5258a03a
141007948848
15813dea285
hex4d2ef5c00

20718771200 has 132 divisors (see below), whose sum is σ = 51491548080. Its totient is φ = 8265891840.

The previous prime is 20718771191. The next prime is 20718771211. The reversal of 20718771200 is 217781702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12875996 + ... + 12877604.

Almost surely, 220718771200 is an apocalyptic number.

20718771200 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 20718771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25745774040).

20718771200 is an abundant number, since it is smaller than the sum of its proper divisors (30772776880).

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

20718771200 is a wasteful number, since it uses less digits than its factorization.

20718771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 35.

The spelling of 20718771200 in words is "twenty billion, seven hundred eighteen million, seven hundred seventy-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 503 512 640 800 1006 1024 1280 1600 1609 2012 2515 2560 3200 3218 4024 5030 5120 6400 6436 8045 8048 10060 12575 12800 12872 16090 16096 20120 25150 25600 25744 32180 32192 40225 40240 50300 51488 64360 64384 80450 80480 100600 102976 128720 128768 160900 160960 201200 205952 257440 257536 321800 321920 402400 411904 514880 515072 643600 643840 804800 809327 823808 1029760 1287200 1287680 1609600 1618654 1647616 2059520 2574400 2575360 3219200 3237308 4046635 4119040 5148800 6438400 6474616 8093270 8238080 10297600 12876800 12949232 16186540 20233175 20595200 25898464 32373080 40466350 41190400 51796928 64746160 80932700 103593856 129492320 161865400 207187712 258984640 323730800 414375424 517969280 647461600 828750848 1035938560 1294923200 2071877120 2589846400 4143754240 5179692800 10359385600 20718771200