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38780925120 = 2633572922111
BaseRepresentation
bin100100000111100001…
…011111010011000000
310201002201011010011000
4210013201133103000
51113410404100440
625452105452000
72542012265430
oct440741372300
9121081133130
1038780925120
11154a0904043
1276237a1000
13387063ca92
141c3c7142c0
15101e97e730
hex90785f4c0

38780925120 has 448 divisors, whose sum is σ = 161753702400. Its totient is φ = 8558161920.

The previous prime is 38780925119. The next prime is 38780925151. The reversal of 38780925120 is 2152908783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1742865 + ... + 1764975.

Almost surely, 238780925120 is an apocalyptic number.

38780925120 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 38780925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80876851200).

38780925120 is an abundant number, since it is smaller than the sum of its proper divisors (122972777280).

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

38780925120 is a wasteful number, since it uses less digits than its factorization.

38780925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22173 (or 22157 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 38780925120 in words is "thirty-eight billion, seven hundred eighty million, nine hundred twenty-five thousand, one hundred twenty".