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13763440337 is a prime number
BaseRepresentation
bin11001101000101110…
…10110111011010001
31022112012100012201112
430310113112323101
5211141420042322
610153422143105
7665033212133
oct146427267321
938465305645
1013763440337
115923115489
122801421a95
1313b45c3c4a
14947cd9053
155584a65e2
hex3345d6ed1

13763440337 has 2 divisors, whose sum is σ = 13763440338. Its totient is φ = 13763440336.

The previous prime is 13763440319. The next prime is 13763440349. The reversal of 13763440337 is 73304436731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11774637121 + 1988803216 = 108511^2 + 44596^2 .

It is a cyclic number.

It is not a de Polignac number, because 13763440337 - 28 = 13763440081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13763440294 and 13763440303.

It is not a weakly prime, because it can be changed into another prime (13763440237) 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, 6881720168 + 6881720169.

It is an arithmetic number, because the mean of its divisors is an integer number (6881720169).

Almost surely, 213763440337 is an apocalyptic number.

It is an amenable number.

13763440337 is a deficient number, since it is larger than the sum of its proper divisors (1).

13763440337 is an equidigital number, since it uses as much as digits as its factorization.

13763440337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 381024, while the sum is 41.

The spelling of 13763440337 in words is "thirteen billion, seven hundred sixty-three million, four hundred forty thousand, three hundred thirty-seven".