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38781755714745 = 32531971791601137
BaseRepresentation
bin10001101000101100101001…
…10001011110110010111001
312002022111111020101011221100
420310112110301132302321
520040400013430332440
6214252032001202013
711111614026344451
oct1064262461366271
9162274436334840
1038781755714745
11113a228307648a
1244241b7630309
13188414728acc4
14981092d34d61
15473c084c2230
hex234594c5ecb9

38781755714745 has 96 divisors (see below), whose sum is σ = 70497209502720. Its totient is φ = 19699352616960.

The previous prime is 38781755714743. The next prime is 38781755714777. The reversal of 38781755714745 is 54741755718783.

38781755714745 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 1 + 7 + 5 + 571 + 4 + 7 + 45 = 666.

38781755714745 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 38781755714745 - 21 = 38781755714743 is a prime.

It is not an unprimeable number, because it can be changed into a prime (38781755714743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23420817 + ... + 25021953.

It is an arithmetic number, because the mean of its divisors is an integer number (734345932320).

Almost surely, 238781755714745 is an apocalyptic number.

It is an amenable number.

38781755714745 is a deficient number, since it is larger than the sum of its proper divisors (31715453787975).

38781755714745 is a wasteful number, since it uses less digits than its factorization.

38781755714745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601455 (or 1601452 counting only the distinct ones).

The product of its digits is 921984000, while the sum is 72.

The spelling of 38781755714745 in words is "thirty-eight trillion, seven hundred eighty-one billion, seven hundred fifty-five million, seven hundred fourteen thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 31 45 93 97 155 179 279 291 465 485 537 873 895 1395 1455 1611 2685 3007 4365 5549 8055 9021 15035 16647 17363 27063 27745 45105 49941 52089 83235 86815 135315 156267 249705 260445 538253 781335 1601137 1614759 2691265 4803411 4844277 8005685 8073795 14410233 24017055 24221385 49635247 72051165 148905741 155310289 248176235 286603523 446717223 465930867 744528705 776551445 859810569 1397792601 1433017615 2233586115 2329654335 2579431707 4299052845 4814618959 6988963005 8884709213 12897158535 14443856877 24073094795 26654127639 27800541731 43331570631 44423546065 72219284385 79962382917 83401625193 133270638195 139002708655 216657853155 250204875579 399811914585 417008125965 861816793661 1251024377895 2585450380983 4309083968305 7756351142949 12927251904915 38781755714745