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138579086925 = 345268434117
BaseRepresentation
bin1000000100001111110…
…1010000111001001101
3111020200211000000110000
42001003331100321031
54232302221240200
6143355022434513
713004055542406
oct2010375207115
9436624000400
10138579086925
1153853311114
1222a35a32a39
13100b63a0626
1469c8a349ad
1539110ea300
hex2043f50e4d

138579086925 has 30 divisors (see below), whose sum is σ = 256696376618. Its totient is φ = 73908845280.

The previous prime is 138579086837. The next prime is 138579086981. The reversal of 138579086925 is 529680975831.

138579086925 is a `hidden beast` number, since 1 + 38 + 579 + 0 + 8 + 6 + 9 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 270964521 + 138308122404 = 16461^2 + 371898^2 .

It is not a de Polignac number, because 138579086925 - 230 = 137505345101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 34215034 + ... + 34219083.

Almost surely, 2138579086925 is an apocalyptic number.

138579086925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138579086925 is a deficient number, since it is larger than the sum of its proper divisors (118117289693).

138579086925 is an equidigital number, since it uses as much as digits as its factorization.

138579086925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68434139 (or 68434125 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 138579086925 in words is "one hundred thirty-eight billion, five hundred seventy-nine million, eighty-six thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 68434117 205302351 342170585 615907053 1026511755 1710852925 1847721159 3079535265 5132558775 5543163477 9238605795 15397676325 27715817385 46193028975 138579086925