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38385058383 = 33710116712041
BaseRepresentation
bin100011101111111011…
…011000001001001111
310200002010021000002000
4203233323120021033
51112103033332013
625344525003343
72526134420130
oct435773301117
9120063230060
1038385058383
1115308401551
1275330b3553
1338096178c9
141c01d07c87
15ee9d35973
hex8efed824f

38385058383 has 64 divisors (see below), whose sum is σ = 66032547840. Its totient is φ = 21585312000.

The previous prime is 38385058357. The next prime is 38385058423.

38385058383 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 50 + 583 + 8 + 3 = 666.

38385058383 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 38385058383 - 29 = 38385057871 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38385056383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3181843 + ... + 3193883.

It is an arithmetic number, because the mean of its divisors is an integer number (1031758560).

Almost surely, 238385058383 is an apocalyptic number.

38385058383 is a deficient number, since it is larger than the sum of its proper divisors (27647489457).

38385058383 is a wasteful number, since it uses less digits than its factorization.

38385058383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12325 (or 12319 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 38385058383 in words is "thirty-eight billion, three hundred eighty-five million, fifty-eight thousand, three hundred eighty-three".

Divisors: 1 3 7 9 21 27 63 101 167 189 303 501 707 909 1169 1503 2121 2727 3507 4509 6363 10521 12041 16867 19089 31563 36123 50601 84287 108369 118069 151803 252861 325107 354207 455409 758583 1062621 1216141 2010847 2275749 3187863 3648423 6032541 8512987 10945269 14075929 18097623 25538961 32835807 42227787 54292869 76616883 126683361 203095547 229850649 380050083 609286641 1421668829 1827859923 4265006487 5483579769 12795019461 38385058383