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3882119799744 = 2632431632334127
BaseRepresentation
bin111000011111100000010…
…111110010001111000000
3111202010102121022002000100
4320133200113302033000
51002101040132042434
612131230552122400
7550321355560644
oct70374027621700
914663377262010
103882119799744
11126744146946a
1252846a096400
1322210bb42454
14d5c77758c24
156aeb217d699
hex387e05f23c0

3882119799744 has 336 divisors, whose sum is σ = 11507981202432. Its totient is φ = 1250497253376.

The previous prime is 3882119799653. The next prime is 3882119799749. The reversal of 3882119799744 is 4479979112883.

3882119799744 is a `hidden beast` number, since 388 + 2 + 1 + 1 + 97 + 99 + 74 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882119799749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 940661809 + ... + 940665935.

Almost surely, 23882119799744 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 3882119799744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753990601216).

3882119799744 is an abundant number, since it is smaller than the sum of its proper divisors (7625861402688).

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

3882119799744 is a wasteful number, since it uses less digits than its factorization.

3882119799744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4584 (or 4571 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 3882119799744 in words is "three trillion, eight hundred eighty-two billion, one hundred nineteen million, seven hundred ninety-nine thousand, seven hundred forty-four".