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13889166761 is a prime number
BaseRepresentation
bin11001110111101101…
…11101110110101001
31022211221220202221202
430323312331312221
5211421111314021
610214113013545
71001120653361
oct147366756651
938757822852
1013889166761
115988088618
1228375542b5
131404674492
1495a8a59a1
1556453da0b
hex33bdbdda9

13889166761 has 2 divisors, whose sum is σ = 13889166762. Its totient is φ = 13889166760.

The previous prime is 13889166743. The next prime is 13889166793. The reversal of 13889166761 is 16766198831.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9752747536 + 4136419225 = 98756^2 + 64315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13889166761 is a prime.

It is a super-2 number, since 2×138891667612 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13889166697 and 13889166706.

It is not a weakly prime, because it can be changed into another prime (13889166701) 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, 6944583380 + 6944583381.

It is an arithmetic number, because the mean of its divisors is an integer number (6944583381).

Almost surely, 213889166761 is an apocalyptic number.

It is an amenable number.

13889166761 is a deficient number, since it is larger than the sum of its proper divisors (1).

13889166761 is an equidigital number, since it uses as much as digits as its factorization.

13889166761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2612736, while the sum is 56.

The spelling of 13889166761 in words is "thirteen billion, eight hundred eighty-nine million, one hundred sixty-six thousand, seven hundred sixty-one".