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38342243808 = 25331121997199
BaseRepresentation
bin100011101101011000…
…000011010111100000
310122222010200210112000
4203231120003113200
51112011103300213
625340355204000
72525104460241
oct435530032740
9118863623460
1038342243808
1115296219300
1275208a6600
1338007a6c3b
141bda360cc8
15ee61c9c73
hex8ed6035e0

38342243808 has 576 divisors, whose sum is σ = 131382720000. Its totient is φ = 10839121920.

The previous prime is 38342243803. The next prime is 38342243809. The reversal of 38342243808 is 80834224383.

It is a super-2 number, since 2×383422438082 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38342243803) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192674493 + ... + 192674691.

It is an arithmetic number, because the mean of its divisors is an integer number (228095000).

Almost surely, 238342243808 is an apocalyptic number.

38342243808 is a gapful number since it is divisible by the number (38) 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 38342243808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65691360000).

38342243808 is an abundant number, since it is smaller than the sum of its proper divisors (93040476192).

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

38342243808 is a wasteful number, since it uses less digits than its factorization.

38342243808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 38342243808 in words is "thirty-eight billion, three hundred forty-two million, two hundred forty-three thousand, eight hundred eight".