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38357432064 = 2834735393
BaseRepresentation
bin100011101110010001…
…111111011100000000
310200000012021102220000
4203232101333130000
51112024000311224
625342100520000
72525350536000
oct435621773400
9120005242800
1038357432064
11152a3852486
1275259b0000
133803994183
141bdc396000
15ee76ca0c9
hex8ee47f700

38357432064 has 360 divisors, whose sum is σ = 133406565600. Its totient is φ = 10957234176.

The previous prime is 38357432041. The next prime is 38357432081. The reversal of 38357432064 is 46023475383.

38357432064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7109752 + ... + 7115144.

Almost surely, 238357432064 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 38357432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66703282800).

38357432064 is an abundant number, since it is smaller than the sum of its proper divisors (95049133536).

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

38357432064 is an frugal number, since it uses more digits than its factorization.

38357432064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 38357432064 in words is "thirty-eight billion, three hundred fifty-seven million, four hundred thirty-two thousand, sixty-four".