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20651152000 = 27531578221
BaseRepresentation
bin10011001110111001…
…111001001010000000
31222022012210012212111
4103032321321022000
5314243143331000
613253105505104
71330516616143
oct231671711200
958265705774
1020651152000
118838045176
124004042194
131c4157308b
14ddc98605a
1580cedecba
hex4cee79280

20651152000 has 128 divisors (see below), whose sum is σ = 51677243280. Its totient is φ = 8206848000.

The previous prime is 20651151977. The next prime is 20651152001. The reversal of 20651152000 is 25115602.

It can be written as a sum of positive squares in 8 ways, for example, as 2352638016 + 18298513984 = 48504^2 + 135272^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (20651152001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2507890 + ... + 2516110.

Almost surely, 220651152000 is an apocalyptic number.

20651152000 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 20651152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25838621640).

20651152000 is an abundant number, since it is smaller than the sum of its proper divisors (31026091280).

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

20651152000 is an equidigital number, since it uses as much as digits as its factorization.

20651152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8407 (or 8385 counting only the distinct ones).

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

Adding to 20651152000 its reverse (25115602), we get a palindrome (20676267602).

The spelling of 20651152000 in words is "twenty billion, six hundred fifty-one million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 157 160 200 250 314 320 400 500 628 640 785 800 1000 1256 1570 1600 2000 2512 3140 3200 3925 4000 5024 6280 7850 8000 8221 10048 12560 15700 16000 16442 19625 20096 25120 31400 32884 39250 41105 50240 62800 65768 78500 82210 100480 125600 131536 157000 164420 205525 251200 263072 314000 328840 411050 502400 526144 628000 657680 822100 1027625 1052288 1256000 1290697 1315360 1644200 2055250 2512000 2581394 2630720 3288400 4110500 5162788 5261440 6453485 6576800 8221000 10325576 12906970 13153600 16442000 20651152 25813940 26307200 32267425 32884000 41302304 51627880 64534850 65768000 82604608 103255760 129069700 131536000 161337125 165209216 206511520 258139400 322674250 413023040 516278800 645348500 826046080 1032557600 1290697000 2065115200 2581394000 4130230400 5162788000 10325576000 20651152000