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138306539585749 is a prime number
BaseRepresentation
bin11111011100101000000000…
…001010011000000011010101
3200010200222100112201002112211
4133130220000022120003111
5121112003243113220444
61210053051441113421
741063213661210133
oct3734500012300325
9603628315632484
10138306539585749
1140083523a52287
1213618898328871
135c23334aa8bc2
1426221022ca753
1510eca0cd8cc34
hex7dca002980d5

138306539585749 has 2 divisors, whose sum is σ = 138306539585750. Its totient is φ = 138306539585748.

The previous prime is 138306539585743. The next prime is 138306539585779. The reversal of 138306539585749 is 947585935603831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113234988463249 + 25071551122500 = 10641193^2 + 5007150^2 .

It is a cyclic number.

It is not a de Polignac number, because 138306539585749 - 221 = 138306537488597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138306539585743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69153269792874 + 69153269792875.

It is an arithmetic number, because the mean of its divisors is an integer number (69153269792875).

Almost surely, 2138306539585749 is an apocalyptic number.

It is an amenable number.

138306539585749 is a deficient number, since it is larger than the sum of its proper divisors (1).

138306539585749 is an equidigital number, since it uses as much as digits as its factorization.

138306539585749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2939328000, while the sum is 76.

The spelling of 138306539585749 in words is "one hundred thirty-eight trillion, three hundred six billion, five hundred thirty-nine million, five hundred eighty-five thousand, seven hundred forty-nine".