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21850782336 = 2732531672143
BaseRepresentation
bin10100010110011010…
…000111101010000000
32002101211002202022200
4110112122013222000
5324222300013321
614012122033200
71402324404525
oct242632075200
962354082280
1021850782336
1192a32191a9
124299948800
1320a2c68206
1410b401b14c
1587d4a5d26
hex516687a80

21850782336 has 192 divisors, whose sum is σ = 64477969920. Its totient is φ = 7100061696.

The previous prime is 21850782323. The next prime is 21850782341. The reversal of 21850782336 is 63328705812.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 21850782291 and 21850782300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10195281 + ... + 10197423.

It is an arithmetic number, because the mean of its divisors is an integer number (335822760).

Almost surely, 221850782336 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 21850782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32238984960).

21850782336 is an abundant number, since it is smaller than the sum of its proper divisors (42627187584).

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

21850782336 is a wasteful number, since it uses less digits than its factorization.

21850782336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 21850782336 in words is "twenty-one billion, eight hundred fifty million, seven hundred eighty-two thousand, three hundred thirty-six".