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38166701769 = 34744432
BaseRepresentation
bin100011100010111010…
…011010011011001001
310122111220101100010000
4203202322122123021
51111131133424034
625311124513213
72520543420000
oct434272323311
9118456340100
1038166701769
1115206120a39
127491b4b809
1337a3304201
141bc0d07c37
15ed5aa2599
hex8e2e9a6c9

38166701769 has 75 divisors (see below), whose sum is σ = 66663388253. Its totient is φ = 21760312392.

The previous prime is 38166701761. The next prime is 38166701813. The reversal of 38166701769 is 96710766183.

It is a happy number.

The square root of 38166701769 is 195363.

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

38166701769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38166701769 - 23 = 38166701761 is a prime.

It is a super-2 number, since 2×381667017692 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38166701761) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 86154862 + ... + 86155304.

Almost surely, 238166701769 is an apocalyptic number.

38166701769 is the 195363-rd square number.

38166701769 is the 97682-nd centered octagonal number.

It is an amenable number.

38166701769 is a deficient number, since it is larger than the sum of its proper divisors (28496686484).

38166701769 is an frugal number, since it uses more digits than its factorization.

38166701769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 38166701769 in words is "thirty-eight billion, one hundred sixty-six million, seven hundred one thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 443 567 1029 1323 1329 2401 3087 3101 3969 3987 7203 9261 9303 11961 21609 21707 27783 27909 35883 64827 65121 83727 151949 194481 195363 196249 251181 455847 586089 588747 1063643 1367541 1373743 1758267 1766241 3190929 4102623 4121229 5298723 9572787 9616201 12307869 12363687 15896169 28718361 28848603 37091061 67313407 86155083 86545809 111273183 201940221 259637427 471193849 605820663 778912281 1413581547 1817461989 4240744641 5452385967 12722233923 38166701769