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21600636012 = 22331375572621
BaseRepresentation
bin10100000111011111…
…111000110001101100
32001202101102000002000
4110013133320301230
5323214230323022
613531224332300
71363166243124
oct240737706154
961671360060
1021600636012
119184aa55aa
12422a014090
1320631a4037
14108cb03c84
158665436ac
hex5077f8c6c

21600636012 has 96 divisors (see below), whose sum is σ = 56533256640. Its totient is φ = 7132101120.

The previous prime is 21600636011. The next prime is 21600636017. The reversal of 21600636012 is 21063600612.

21600636012 is a `hidden beast` number, since 2 + 16 + 0 + 0 + 636 + 0 + 12 = 666.

It is a super-2 number, since 2×216006360122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21600636011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 8240062 + ... + 8242682.

It is an arithmetic number, because the mean of its divisors is an integer number (588888090).

Almost surely, 221600636012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21600636012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28266628320).

21600636012 is an abundant number, since it is smaller than the sum of its proper divisors (34932620628).

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

21600636012 is a wasteful number, since it uses less digits than its factorization.

21600636012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 21600636012 in words is "twenty-one billion, six hundred million, six hundred thirty-six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 137 274 411 548 557 822 1114 1233 1644 1671 2228 2466 2621 3342 3699 4932 5013 5242 6684 7398 7863 10026 10484 14796 15039 15726 20052 23589 30078 31452 47178 60156 70767 76309 94356 141534 152618 228927 283068 305236 359077 457854 686781 718154 915708 1077231 1373562 1436308 1459897 2060343 2154462 2747124 2919794 3231693 4120686 4308924 4379691 5839588 6463386 8241372 8759382 9695079 12926772 13139073 17518764 19390158 26278146 38780316 39417219 52556292 78834438 157668876 200005889 400011778 600017667 800023556 1200035334 1800053001 2400070668 3600106002 5400159003 7200212004 10800318006 21600636012