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3820051244880 = 2434513223374099
BaseRepresentation
bin110111100101101100110…
…011000010011101010000
3111112012012221100210110000
4313211230303002131100
51000041431104314010
612042523551410000
7542663300554023
oct67455463023520
914465187323400
103820051244880
111243090380532
12518427523900
132192c9987100
14d2c6a2831ba
156957d0257c0
hex3796ccc2750

3820051244880 has 1200 divisors, whose sum is σ = 15400261641600. Its totient is φ = 874914213888.

The previous prime is 3820051244837. The next prime is 3820051244929. The reversal of 3820051244880 is 884421500283.

3820051244880 is a `hidden beast` number, since 3 + 82 + 0 + 0 + 51 + 2 + 448 + 80 = 666.

3820051244880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 931945071 + ... + 931949169.

It is an arithmetic number, because the mean of its divisors is an integer number (12833551368).

Almost surely, 23820051244880 is an apocalyptic number.

3820051244880 is a gapful number since it is divisible by the number (30) 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 3820051244880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700130820800).

3820051244880 is an abundant number, since it is smaller than the sum of its proper divisors (11580210396720).

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

3820051244880 is a wasteful number, since it uses less digits than its factorization.

3820051244880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 3820051244880 in words is "three trillion, eight hundred twenty billion, fifty-one million, two hundred forty-four thousand, eight hundred eighty".