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38606929920 = 216325131953
BaseRepresentation
bin100011111101001001…
…110000000000000000
310200122120202020121100
4203331021300000000
51113031333224140
625422532254400
72534500326666
oct437511600000
9120576666540
1038606929920
1115411672959
127595471400
13384358c140
141c23580c36
15100e560530
hex8fd270000

38606929920 has 816 divisors, whose sum is σ = 154579894560. Its totient is φ = 8833204224.

The previous prime is 38606929877. The next prime is 38606929961. The reversal of 38606929920 is 2992960683.

38606929920 is a `hidden beast` number, since 3 + 8 + 606 + 9 + 2 + 9 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728432614 + ... + 728432666.

Almost surely, 238606929920 is an apocalyptic number.

38606929920 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 38606929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77289947280).

38606929920 is an abundant number, since it is smaller than the sum of its proper divisors (115972964640).

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

38606929920 is a wasteful number, since it uses less digits than its factorization.

38606929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 38606929920 in words is "thirty-eight billion, six hundred six million, nine hundred twenty-nine thousand, nine hundred twenty".