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38654705628 = 223471131151331
BaseRepresentation
bin100011111111111111…
…111111111111011100
310200202220122111120000
4203333333333333130
51113131101040003
625431400254300
72535620401530
oct437777777734
9120686574500
1038654705628
1115436634510
1275a9471390
133850448ca6
141c29a59bc0
15101384b1a3
hex8ffffffdc

38654705628 has 480 divisors, whose sum is σ = 131306520576. Its totient is φ = 9622800000.

The previous prime is 38654705623. The next prime is 38654705641. The reversal of 38654705628 is 82650745683.

38654705628 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 4 + 7 + 0 + 5 + 628 = 666.

38654705628 is nontrivially palindromic in base 8.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38654705623) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 116781423 + ... + 116781753.

Almost surely, 238654705628 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 38654705628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65653260288).

38654705628 is an abundant number, since it is smaller than the sum of its proper divisors (92651814948).

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

38654705628 is a wasteful number, since it uses less digits than its factorization.

38654705628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 38654705628 in words is "thirty-eight billion, six hundred fifty-four million, seven hundred five thousand, six hundred twenty-eight".