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3878243583840 = 2532517191132653
BaseRepresentation
bin111000011011111001010…
…101001100011101100000
3111201202102110111220102100
4320123321111030131200
51002020120324140330
612125350203250400
7550123330355643
oct70337125143540
914652373456370
103878243583840
11126583244104a
12527767b19a00
13221941a71182
14d59caa27a5a
156ad36c0a060
hex386f954c760

3878243583840 has 864 divisors, whose sum is σ = 14905014677280. Its totient is φ = 912573333504.

The previous prime is 3878243583791. The next prime is 3878243583869. The reversal of 3878243583840 is 483853428783.

3878243583840 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 2 + 4 + 3 + 583 + 8 + 40 = 666.

3878243583840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38782435838402 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5939116954 + ... + 5939117606.

It is an arithmetic number, because the mean of its divisors is an integer number (17251174395).

Almost surely, 23878243583840 is an apocalyptic number.

3878243583840 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 3878243583840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452507338640).

3878243583840 is an abundant number, since it is smaller than the sum of its proper divisors (11026771093440).

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

3878243583840 is a wasteful number, since it uses less digits than its factorization.

3878243583840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 3878243583840 in words is "three trillion, eight hundred seventy-eight billion, two hundred forty-three million, five hundred eighty-three thousand, eight hundred forty".