Search a number
-
+
38871544481936 = 242910713719129921
BaseRepresentation
bin10001101011010011111001…
…00110011100100010010000
312002122002020202210011010022
420311221330212130202100
520043332410341410221
6214401201354123012
711121243052311065
oct1065517446344220
9162562222704108
1038871544481936
1111427369532201
124439695720468
13188c7563c224a
1498556db68c6c
154762110264ab
hex235a7c99c890

38871544481936 has 160 divisors (see below), whose sum is σ = 79630169057280. Its totient is φ = 18357265203200.

The previous prime is 38871544481923. The next prime is 38871544481953. The reversal of 38871544481936 is 63918444517883.

38871544481936 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×388715444819362 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38871544481936.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1299124256 + ... + 1299154176.

It is an arithmetic number, because the mean of its divisors is an integer number (497688556608).

Almost surely, 238871544481936 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 38871544481936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39815084528640).

38871544481936 is an abundant number, since it is smaller than the sum of its proper divisors (40758624575344).

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

38871544481936 is a wasteful number, since it uses less digits than its factorization.

38871544481936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30393 (or 30387 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 71.

The spelling of 38871544481936 in words is "thirty-eight trillion, eight hundred seventy-one billion, five hundred forty-four million, four hundred eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 107 116 137 191 214 232 274 382 428 464 548 764 856 1096 1528 1712 2192 3056 3103 3973 5539 6206 7946 11078 12412 14659 15892 20437 22156 24824 26167 29318 29921 31784 40874 44312 49648 52334 58636 59842 63568 81748 88624 104668 117272 119684 163496 209336 234544 239368 326992 418672 425111 478736 592673 758843 850222 867709 1185346 1517686 1700444 1735418 2370692 2799869 3035372 3201547 3400888 3470836 4099177 4741384 5599738 5714911 6070744 6403094 6801776 6941672 8198354 9482768 11199476 11429822 12141488 12806188 13883344 16396708 22398952 22859644 25612376 32793416 44797904 45719288 51224752 65586832 81196201 91438576 92844863 118876133 162392402 165732419 185689726 237752266 324784804 331464838 371379452 438611939 475504532 611495477 649569608 662929676 742758904 782942807 877223878 951009064 1222990954 1299139216 1325859352 1485517808 1565885614 1754447756 1902018128 2445981908 2651718704 3131771228 3508895512 4891963816 6263542456 7017791024 9783927632 12527084912 12719746231 17733368833 22705341403 25439492462 35466737666 45410682806 50878984924 70933475332 83774880349 90821365612 101757969848 141866950664 167549760698 181642731224 203515939696 283733901328 335099521396 363285462448 670199042792 1340398085584 2429471530121 4858943060242 9717886120484 19435772240968 38871544481936