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38856487680 = 2832516320693
BaseRepresentation
bin100100001100000001…
…101111001100000000
310201021222100002111100
4210030001233030000
51114034230101210
625503405214400
72543620460433
oct441401571400
9121258302440
1038856487680
111552a52433a
127644b61400
1338831a845a
141c4878381a
1510264085c0
hex90c06f300

38856487680 has 216 divisors, whose sum is σ = 135270718128. Its totient is φ = 10297663488.

The previous prime is 38856487601. The next prime is 38856487687. The reversal of 38856487680 is 8678465883.

38856487680 is a `hidden beast` number, since 3 + 8 + 8 + 564 + 8 + 7 + 68 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (38856487687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1867414 + ... + 1888106.

Almost surely, 238856487680 is an apocalyptic number.

38856487680 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 38856487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67635359064).

38856487680 is an abundant number, since it is smaller than the sum of its proper divisors (96414230448).

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

38856487680 is a wasteful number, since it uses less digits than its factorization.

38856487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20883 (or 20866 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 38856487680 in words is "thirty-eight billion, eight hundred fifty-six million, four hundred eighty-seven thousand, six hundred eighty".