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38419928820 = 223257213335077
BaseRepresentation
bin100011110010000000…
…011001011011110100
310200011112212121022200
4203302000121123310
51112141000210240
625352212224500
72530040002200
oct436200313364
9120145777280
1038419928820
1115326059199
12754290b130
1338139066c0
141c067c3b00
15eece22930
hex8f20196f4

38419928820 has 216 divisors, whose sum is σ = 145996165224. Its totient is φ = 8106158592.

The previous prime is 38419928797. The next prime is 38419928837. The reversal of 38419928820 is 2882991483.

It can be written as a sum of positive squares in 4 ways, for example, as 1126139364 + 37293789456 = 33558^2 + 193116^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52879 + ... + 282198.

Almost surely, 238419928820 is an apocalyptic number.

38419928820 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 38419928820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72998082612).

38419928820 is an abundant number, since it is smaller than the sum of its proper divisors (107576236404).

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

38419928820 is a wasteful number, since it uses less digits than its factorization.

38419928820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335119 (or 335107 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 38419928820 in words is "thirty-eight billion, four hundred nineteen million, nine hundred twenty-eight thousand, eight hundred twenty".