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138791381589 = 32717534635281
BaseRepresentation
bin1000000101000010011…
…1000110101001010101
3111021020121110200222100
42001100213012221111
54233221043202324
6143432044552313
713012244164320
oct2012047065125
9437217420870
10138791381589
1153952131253
1222a94b52699
131011b370a83
146a08cd77b7
153924a824c9
hex20509c6a55

138791381589 has 96 divisors (see below), whose sum is σ = 247751322624. Its totient is φ = 73063710720.

The previous prime is 138791381579. The next prime is 138791381669. The reversal of 138791381589 is 985183197831.

138791381589 is a `hidden beast` number, since 1 + 38 + 7 + 9 + 13 + 8 + 1 + 589 = 666.

It is not a de Polignac number, because 138791381589 - 25 = 138791381557 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138791381569) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26278629 + ... + 26283909.

It is an arithmetic number, because the mean of its divisors is an integer number (2580742944).

Almost surely, 2138791381589 is an apocalyptic number.

It is an amenable number.

138791381589 is a deficient number, since it is larger than the sum of its proper divisors (108959941035).

138791381589 is a wasteful number, since it uses less digits than its factorization.

138791381589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5827 (or 5824 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 63.

The spelling of 138791381589 in words is "one hundred thirty-eight billion, seven hundred ninety-one million, three hundred eighty-one thousand, five hundred eighty-nine".

Divisors: 1 3 7 9 17 21 51 53 63 119 153 159 357 371 463 477 901 1071 1113 1389 2703 3241 3339 4167 5281 6307 7871 8109 9723 15843 18921 23613 24539 29169 36967 47529 55097 56763 70839 73617 89777 110901 165291 171773 220851 269331 279893 332703 417163 495873 515319 628439 807993 839679 1251489 1545957 1885317 1959251 2445103 2519037 2920141 3754467 4758181 5655951 5877753 7335309 8760423 14274543 17115721 17633259 22005927 26281269 33307267 41566751 42823629 51347163 99921801 124700253 129590459 154041489 290967257 299765403 374100759 388771377 872901771 907133213 1166314131 2203037803 2618705313 2721399639 6609113409 8164198917 15421264621 19827340227 46263793863 138791381589