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38982570705 = 3451322933229
BaseRepresentation
bin100100010011100010…
…101101001011010001
310201121202120202220000
4210103202231023101
51114314014230310
625524111440213
72550011245431
oct442342551321
9121552522800
1038982570705
1115594710391
12767b226069
1338a33520b0
141c5b4042c1
1510325114c0
hex9138ad2d1

38982570705 has 80 divisors (see below), whose sum is σ = 75311377680. Its totient is φ = 19177108992.

The previous prime is 38982570703. The next prime is 38982570709. The reversal of 38982570705 is 50707528983.

38982570705 is a `hidden beast` number, since 389 + 8 + 257 + 0 + 7 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8217059904 + 30765510801 = 90648^2 + 175401^2 .

It is not a de Polignac number, because 38982570705 - 21 = 38982570703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38982570703) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12071031 + ... + 12074259.

It is an arithmetic number, because the mean of its divisors is an integer number (941392221).

Almost surely, 238982570705 is an apocalyptic number.

It is an amenable number.

38982570705 is a deficient number, since it is larger than the sum of its proper divisors (36328806975).

38982570705 is a wasteful number, since it uses less digits than its factorization.

38982570705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 38982570705 in words is "thirty-eight billion, nine hundred eighty-two million, five hundred seventy thousand, seven hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 2293 3229 5265 6879 9687 11465 16145 20637 29061 29809 34395 41977 48435 61911 87183 89427 103185 125931 145305 149045 185733 209885 261549 268281 309555 377793 435915 447135 629655 804843 928665 1133379 1307745 1341405 1888965 2414529 3400137 4024215 5666895 7404097 12072645 17000685 22212291 37020485 66636873 96253261 111061455 199910619 288759783 333184365 481266305 599731857 866279349 999553095 1443798915 2598838047 2998659285 4331396745 7796514141 12994190235 38982570705