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4286912252064 = 2531329592007613
BaseRepresentation
bin111110011000011111111…
…000011100100010100000
3120011211021021201020200020
4332120133320130202200
51030214044014031224
613041214051153440
7621501452625111
oct76303770344240
916154237636606
104286912252064
111403084230162
125929ba2a5880
1325133c3117a0
1410b6b81d4208
15767a4682c79
hex3e61fe1c8a0

4286912252064 has 192 divisors, whose sum is σ = 12749151945600. Its totient is φ = 1251978964992.

The previous prime is 4286912252057. The next prime is 4286912252081. The reversal of 4286912252064 is 4602522196824.

It is a happy number.

4286912252064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4286912251998 and 4286912252016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1131522 + ... + 3139134.

It is an arithmetic number, because the mean of its divisors is an integer number (66401833050).

Almost surely, 24286912252064 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 4286912252064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374575972800).

4286912252064 is an abundant number, since it is smaller than the sum of its proper divisors (8462239693536).

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

4286912252064 is a wasteful number, since it uses less digits than its factorization.

4286912252064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007727 (or 2007719 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 4286912252064 in words is "four trillion, two hundred eighty-six billion, nine hundred twelve million, two hundred fifty-two thousand, sixty-four".