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106838168747549 is a prime number
BaseRepresentation
bin11000010010101100110011…
…000110001011111000011101
3112000021121222200020002120012
4120102230303012023320131
5103000414032144410144
61015120435510533005
731334542263356021
oct3022546306137035
9460247880202505
10106838168747549
11310508a3aa1288
12bb95b52667165
13477ca46cc1815
141c54dd0244381
15c5418c8a2e9e
hex612b3318be1d

106838168747549 has 2 divisors, whose sum is σ = 106838168747550. Its totient is φ = 106838168747548.

The previous prime is 106838168747507. The next prime is 106838168747593. The reversal of 106838168747549 is 945747861838601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105405642225625 + 1432526521924 = 10266725^2 + 1196882^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106838168747549 is a prime.

It is a super-2 number, since 2×1068381687475492 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106838168747549.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106838168746549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53419084373774 + 53419084373775.

It is an arithmetic number, because the mean of its divisors is an integer number (53419084373775).

Almost surely, 2106838168747549 is an apocalyptic number.

It is an amenable number.

106838168747549 is a deficient number, since it is larger than the sum of its proper divisors (1).

106838168747549 is an equidigital number, since it uses as much as digits as its factorization.

106838168747549 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1950842880, while the sum is 77.

The spelling of 106838168747549 in words is "one hundred six trillion, eight hundred thirty-eight billion, one hundred sixty-eight million, seven hundred forty-seven thousand, five hundred forty-nine".