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38339686368 = 25331571791579
BaseRepresentation
bin100011101101001110…
…010010111111100000
310122221221212212101000
4203231032102333200
51112004424430433
625340224312000
72525043646164
oct435516227740
9118857785330
1038339686368
1115294831915
12751ba72600
1338000bcb69
141bd9c96ca4
15ee5d72113
hex8ed392fe0

38339686368 has 192 divisors, whose sum is σ = 113236704000. Its totient is φ = 12619556352.

The previous prime is 38339686367. The next prime is 38339686369. The reversal of 38339686368 is 86368693383.

It is an interprime number because it is at equal distance from previous prime (38339686367) and next prime (38339686369).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38339686367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24280203 + ... + 24281781.

It is an arithmetic number, because the mean of its divisors is an integer number (589774500).

Almost surely, 238339686368 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 38339686368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56618352000).

38339686368 is an abundant number, since it is smaller than the sum of its proper divisors (74897017632).

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

38339686368 is a wasteful number, since it uses less digits than its factorization.

38339686368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1920 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 38339686368 in words is "thirty-eight billion, three hundred thirty-nine million, six hundred eighty-six thousand, three hundred sixty-eight".