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38743229889 = 32741321032
BaseRepresentation
bin100100000101010001…
…101100010111000001
310201000002020000000100
4210011101230113001
51113321231324024
625444241513013
72541044010000
oct440521542701
9121002200010
1038743229889
11154815a8061
127613042769
1338658a2300
141c37700c37
15101b4d57c9
hex90546c5c1

38743229889 has 135 divisors (see below), whose sum is σ = 71386921827. Its totient is φ = 20237581728.

The previous prime is 38743229827. The next prime is 38743229893. The reversal of 38743229889 is 98892234783.

The square root of 38743229889 is 196833.

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

38743229889 is a `hidden beast` number, since 38 + 7 + 432 + 2 + 98 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5731247025 + 33011982864 = 75705^2 + 181692^2 .

It is not a de Polignac number, because 38743229889 - 217 = 38743098817 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (41803776) is a multiple of the sum of its prime divisors (126).

It is not an unprimeable number, because it can be changed into a prime (38743229089) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 376147812 + ... + 376147914.

Almost surely, 238743229889 is an apocalyptic number.

38743229889 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

38743229889 is the 196833-rd square number.

38743229889 is the 98417-th centered octagonal number.

It is an amenable number.

38743229889 is a deficient number, since it is larger than the sum of its proper divisors (32643691938).

38743229889 is an equidigital number, since it uses as much as digits as its factorization.

38743229889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 126 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 38743229889 in words is "thirty-eight billion, seven hundred forty-three million, two hundred twenty-nine thousand, eight hundred eighty-nine".

Divisors: 1 3 7 9 13 21 39 49 63 91 103 117 147 169 273 309 343 441 507 637 721 819 927 1029 1183 1339 1521 1911 2163 2401 3087 3549 4017 4459 5047 5733 6489 7203 8281 9373 10609 10647 12051 13377 15141 17407 21609 24843 28119 31213 31827 35329 40131 45423 52221 57967 65611 74263 74529 84357 93639 95481 105987 121849 137917 156663 173901 196833 222789 247303 280917 317961 365547 405769 413751 459277 519841 521703 590499 668367 741909 852943 965419 1096641 1217307 1241253 1377831 1559523 1792921 2225727 2558829 2896257 3214939 3638887 3651921 4133493 4678569 5378763 5970601 6757933 7676487 8688771 9644817 10916661 12550447 16136289 17911803 20273799 25472209 28934451 32749983 37651341 41794207 47305531 53735409 60821397 76416627 87853129 112954023 125382621 141916593 229249881 263559387 331138717 376147863 425749779 614971903 790678161 993416151 1844915709 2980248453 4304803321 5534747127 12914409963 38743229889