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13460241829 is a prime number
BaseRepresentation
bin11001000100100101…
…01111110110100101
31021202001211010120011
430202102233312211
5210031310214304
610103351410221
7654362111356
oct144222576645
937661733504
1013460241829
115787a56a01
122737983971
131366846348
14919931d2d
1553ba64c04
hex3224afda5

13460241829 has 2 divisors, whose sum is σ = 13460241830. Its totient is φ = 13460241828.

The previous prime is 13460241811. The next prime is 13460241857. The reversal of 13460241829 is 92814206431.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13064032804 + 396209025 = 114298^2 + 19905^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13460241829 is a prime.

It is a super-2 number, since 2×134602418292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13460241791 and 13460241800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13460241869) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6730120914 + 6730120915.

It is an arithmetic number, because the mean of its divisors is an integer number (6730120915).

Almost surely, 213460241829 is an apocalyptic number.

It is an amenable number.

13460241829 is a deficient number, since it is larger than the sum of its proper divisors (1).

13460241829 is an equidigital number, since it uses as much as digits as its factorization.

13460241829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 13460241829 in words is "thirteen billion, four hundred sixty million, two hundred forty-one thousand, eight hundred twenty-nine".