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38879371125 = 325377367631
BaseRepresentation
bin100100001101011001…
…000001111101110101
310201100120101200200100
4210031121001331311
51114111104334000
625505543504313
72544316126140
oct441531017565
9121316350610
1038879371125
1115541433a81
127650758099
133887b5b15a
141c4b81d057
151028428a00
hex90d641f75

38879371125 has 96 divisors (see below), whose sum is σ = 81197356032. Its totient is φ = 17529696000.

The previous prime is 38879371121. The next prime is 38879371133. The reversal of 38879371125 is 52117397883.

It is a happy number.

38879371125 is a `hidden beast` number, since 3 + 88 + 79 + 371 + 125 = 666.

38879371125 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 38879371125 - 22 = 38879371121 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38879371121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 541060 + ... + 608690.

It is an arithmetic number, because the mean of its divisors is an integer number (845805792).

Almost surely, 238879371125 is an apocalyptic number.

38879371125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38879371125 is an abundant number, since it is smaller than the sum of its proper divisors (42317984907).

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

38879371125 is a wasteful number, since it uses less digits than its factorization.

38879371125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67732 (or 67719 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 38879371125 in words is "thirty-eight billion, eight hundred seventy-nine million, three hundred seventy-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 73 75 105 125 175 219 225 315 365 375 511 525 657 875 1095 1125 1533 1575 1825 2555 2625 3285 4599 5475 7665 7875 9125 12775 16425 22995 27375 38325 63875 67631 82125 114975 191625 202893 338155 473417 574875 608679 1014465 1420251 1690775 2367085 3043395 4260753 4937063 5072325 7101255 8453875 11835425 14811189 15216975 21303765 24685315 25361625 34559441 35506275 44433567 59177125 74055945 76084875 103678323 106518825 123426575 172797205 177531375 222167835 311034969 370279725 518391615 532594125 617132875 863986025 1110839175 1555174845 1851398625 2591958075 4319930125 5554195875 7775874225 12959790375 38879371125