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38660604129 = 347231212
BaseRepresentation
bin100100000000010110…
…100000000011100001
310200210022202011210000
4210000112200003201
51113134103313004
625432130530213
72536021466400
oct440026400341
9120708664700
1038660604129
11154399a3104
1275ab436969
133851732a24
141c2a753637
151014113c39
hex9005a00e1

38660604129 has 45 divisors (see below), whose sum is σ = 67202733411. Its totient is φ = 22084695360.

The previous prime is 38660604127. The next prime is 38660604137. The reversal of 38660604129 is 92140606683.

The square root of 38660604129 is 196623.

It is a perfect power (a square), and thus also a powerful number.

38660604129 is a `hidden beast` number, since 38 + 6 + 6 + 0 + 604 + 1 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24770529 + 38635833600 = 4977^2 + 196560^2 .

It is not a de Polignac number, because 38660604129 - 21 = 38660604127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38660604127) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12385689 + ... + 12388809.

Almost surely, 238660604129 is an apocalyptic number.

38660604129 is the 196623-rd square number.

38660604129 is the 98312-nd centered octagonal number.

It is an amenable number.

38660604129 is a deficient number, since it is larger than the sum of its proper divisors (28542129282).

38660604129 is an frugal number, since it uses more digits than its factorization.

38660604129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38660604129 in words is "thirty-eight billion, six hundred sixty million, six hundred four thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3121 3969 9363 21847 28089 65541 84267 152929 196623 252801 458787 589869 1376361 1769607 4129083 9740641 12387249 29221923 68184487 87665769 204553461 262997307 477291409 613660383 788991921 1431874227 1840981149 4295622681 5522943447 12886868043 38660604129