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38300831800 = 23527112311727
BaseRepresentation
bin100011101010111010…
…000101000000111000
310122212020202211220221
4203222322011000320
51111420003104200
625332315425424
72524062461440
oct435272050070
9118766684827
1038300831800
1115274903900
12750aa55274
1337c50377aa
141bd4a61120
15ee274991a
hex8eae85038

38300831800 has 288 divisors, whose sum is σ = 112377807360. Its totient is φ = 11883168000.

The previous prime is 38300831797. The next prime is 38300831801. The reversal of 38300831800 is 813800383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38300831801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52683037 + ... + 52683763.

It is an arithmetic number, because the mean of its divisors is an integer number (390200720).

Almost surely, 238300831800 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 38300831800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56188903680).

38300831800 is an abundant number, since it is smaller than the sum of its proper divisors (74076975560).

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

38300831800 is a wasteful number, since it uses less digits than its factorization.

38300831800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 38300831800 in words is "thirty-eight billion, three hundred million, eight hundred thirty-one thousand, eight hundred".