Search a number
-
+
38781056231247 = 31153313449315767
BaseRepresentation
bin10001101000101011010110…
…00101001010011101001111
312002022102200111011201222010
420310111223011022131033
520040342100343344442
6214251434332552303
711111560504004121
oct1064255305123517
9162272614151863
1038781056231247
11113a1a5424a150
124424041322693
13188406539ca45
14981028093211
15473bb6da2b9c
hex23456b14a74f

38781056231247 has 64 divisors (see below), whose sum is σ = 57673236612096. Its totient is φ = 22979956546560.

The previous prime is 38781056231213. The next prime is 38781056231249. The reversal of 38781056231247 is 74213265018783.

It is a happy number.

38781056231247 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 38781056231247 - 211 = 38781056229199 is a prime.

It is a super-2 number, since 2×387810562312472 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38781056231249) 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 63 ways as a sum of consecutive naturals, for example, 2459626558 + ... + 2459642324.

It is an arithmetic number, because the mean of its divisors is an integer number (901144322064).

Almost surely, 238781056231247 is an apocalyptic number.

38781056231247 is a deficient number, since it is larger than the sum of its proper divisors (18892180380849).

38781056231247 is a wasteful number, since it uses less digits than its factorization.

38781056231247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20640.

The product of its (nonzero) digits is 13547520, while the sum is 57.

The spelling of 38781056231247 in words is "thirty-eight trillion, seven hundred eighty-one billion, fifty-six million, two hundred thirty-one thousand, two hundred forty-seven".

Divisors: 1 3 11 33 53 159 313 583 939 1749 3443 4493 10329 13479 15767 16589 47301 49423 49767 148269 173437 182479 238129 520311 547437 714387 835651 1406309 2506953 2619419 4218927 4935071 7858257 9192161 14805213 15469399 27576483 46408197 54285781 70841131 74534377 162857343 212523393 223603131 261558763 779252441 784676289 819878147 2337757323 2459634441 2877146393 3754579943 8631439179 11263739829 22173274003 41300379373 66519822009 123901138119 243906014033 731718042099 1175183522159 3525550566477 12927018743749 38781056231247