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3888130831200 = 25375273111931
BaseRepresentation
bin111000100101000110101…
…010000011001101100000
3111202200221112010010000000
4320211012222003031200
51002200342443044300
612134103241300000
7550623335523000
oct70450652031540
914680845103000
103888130831200
111269a46544360
12529667194600
132228592a13b5
14d6287bda000
156b214c44c00
hex38946a83360

3888130831200 has 4608 divisors, whose sum is σ = 19678740480000. Its totient is φ = 740710656000.

The previous prime is 3888130831139. The next prime is 3888130831201. The reversal of 3888130831200 is 21380318883.

3888130831200 is a `hidden beast` number, since 38 + 8 + 81 + 308 + 31 + 200 = 666.

It is a super-2 number, since 2×38881308312002 (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3888130831201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 125423575185 + ... + 125423575215.

It is an arithmetic number, because the mean of its divisors is an integer number (4270560000).

Almost surely, 23888130831200 is an apocalyptic number.

3888130831200 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 3888130831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9839370240000).

3888130831200 is an abundant number, since it is smaller than the sum of its proper divisors (15790609648800).

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

3888130831200 is a wasteful number, since it uses less digits than its factorization.

3888130831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 3888130831200 in words is "three trillion, eight hundred eighty-eight billion, one hundred thirty million, eight hundred thirty-one thousand, two hundred".