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38563141632 = 2113171931913
BaseRepresentation
bin100011111010100010…
…101101100000000000
310200112112100120100220
4203322202231200000
51112434131013012
625414325543040
72533426203231
oct437242554000
9120475316326
1038563141632
1115399985094
127582874a80
13383749a202
141c1b823088
15100a7b108c
hex8fa8ad800

38563141632 has 192 divisors, whose sum is σ = 109478809440. Its totient is φ = 12029263872.

The previous prime is 38563141597. The next prime is 38563141657. The reversal of 38563141632 is 23614136583.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20157508 + ... + 20159420.

Almost surely, 238563141632 is an apocalyptic number.

38563141632 is a gapful number since it is divisible by the number (32) 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 38563141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54739404720).

38563141632 is an abundant number, since it is smaller than the sum of its proper divisors (70915667808).

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

38563141632 is a wasteful number, since it uses less digits than its factorization.

38563141632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2128 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 38563141632 in words is "thirty-eight billion, five hundred sixty-three million, one hundred forty-one thousand, six hundred thirty-two".