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138067107649 is a prime number
BaseRepresentation
bin1000000010010101110…
…0001101111101000001
3111012101010121202220121
42000211130031331001
54230230134421044
6143232133140241
712655301023432
oct2004534157501
9435333552817
10138067107649
1153610312549
122291248a681
13100342b2b03
14697aa41489
1538d11b7984
hex202570df41

138067107649 has 2 divisors, whose sum is σ = 138067107650. Its totient is φ = 138067107648.

The previous prime is 138067107641. The next prime is 138067107719. The reversal of 138067107649 is 946701760831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138036027024 + 31080625 = 371532^2 + 5575^2 .

It is an emirp because it is prime and its reverse (946701760831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 138067107649 - 23 = 138067107641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138067107596 and 138067107605.

It is not a weakly prime, because it can be changed into another prime (138067107641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 69033553824 + 69033553825.

It is an arithmetic number, because the mean of its divisors is an integer number (69033553825).

Almost surely, 2138067107649 is an apocalyptic number.

It is an amenable number.

138067107649 is a deficient number, since it is larger than the sum of its proper divisors (1).

138067107649 is an equidigital number, since it uses as much as digits as its factorization.

138067107649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 138067107649 in words is "one hundred thirty-eight billion, sixty-seven million, one hundred seven thousand, six hundred forty-nine".