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13645198741 is a prime number
BaseRepresentation
bin11001011010101000…
…10011010110010101
31022012221211220202011
430231110103112111
5210421132324431
610133555544221
7662066163346
oct145524232625
938187756664
1013645198741
1158723a4859
1227898bb071
131395c644c5
1493631a0cd
1554cdebcb1
hex32d513595

13645198741 has 2 divisors, whose sum is σ = 13645198742. Its totient is φ = 13645198740.

The previous prime is 13645198703. The next prime is 13645198751. The reversal of 13645198741 is 14789154631.

13645198741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12516910641 + 1128288100 = 111879^2 + 33590^2 .

It is a cyclic number.

It is not a de Polignac number, because 13645198741 - 215 = 13645165973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13645198751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6822599370 + 6822599371.

It is an arithmetic number, because the mean of its divisors is an integer number (6822599371).

Almost surely, 213645198741 is an apocalyptic number.

It is an amenable number.

13645198741 is a deficient number, since it is larger than the sum of its proper divisors (1).

13645198741 is an equidigital number, since it uses as much as digits as its factorization.

13645198741 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 725760, while the sum is 49.

The spelling of 13645198741 in words is "thirteen billion, six hundred forty-five million, one hundred ninety-eight thousand, seven hundred forty-one".