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138326788585009 is a prime number
BaseRepresentation
bin11111011100111010110111…
…000110001011011000110001
3200010202220121201202211120101
4133130322313012023120301
5121112321230334210014
61210110241023312401
741064531525650323
oct3734726706133061
9603686551684511
10138326788585009
1140091074a91112
12136207a974b701
135c25210c3587b
1426230a36ab613
1510ed2e58e1474
hex7dceb718b631

138326788585009 has 2 divisors, whose sum is σ = 138326788585010. Its totient is φ = 138326788585008.

The previous prime is 138326788584997. The next prime is 138326788585043. The reversal of 138326788585009 is 900585887623831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136253606163984 + 2073182421025 = 11672772^2 + 1439855^2 .

It is a cyclic number.

It is not a de Polignac number, because 138326788585009 - 223 = 138326780196401 is a prime.

It is a super-3 number, since 3×1383267885850093 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (138326788585709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69163394292504 + 69163394292505.

It is an arithmetic number, because the mean of its divisors is an integer number (69163394292505).

Almost surely, 2138326788585009 is an apocalyptic number.

It is an amenable number.

138326788585009 is a deficient number, since it is larger than the sum of its proper divisors (1).

138326788585009 is an equidigital number, since it uses as much as digits as its factorization.

138326788585009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 696729600, while the sum is 73.

The spelling of 138326788585009 in words is "one hundred thirty-eight trillion, three hundred twenty-six billion, seven hundred eighty-eight million, five hundred eighty-five thousand, nine".