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13837247681 is a prime number
BaseRepresentation
bin11001110001100001…
…11010010011000001
31022201100020000100212
430320300322103001
5211314313411211
610205020123505
7666620443655
oct147060722301
938640200325
1013837247681
115960846a94
122822096595
1313c699672a
14953a2ca65
1555ebd538b
hex338c3a4c1

13837247681 has 2 divisors, whose sum is σ = 13837247682. Its totient is φ = 13837247680.

The previous prime is 13837247621. The next prime is 13837247689. The reversal of 13837247681 is 18674273831.

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., 13051006081 + 786241600 = 114241^2 + 28040^2 .

It is a cyclic number.

It is not a de Polignac number, because 13837247681 - 26 = 13837247617 is a prime.

It is a super-2 number, since 2×138372476812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13837247689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6918623840 + 6918623841.

It is an arithmetic number, because the mean of its divisors is an integer number (6918623841).

Almost surely, 213837247681 is an apocalyptic number.

It is an amenable number.

13837247681 is a deficient number, since it is larger than the sum of its proper divisors (1).

13837247681 is an equidigital number, since it uses as much as digits as its factorization.

13837247681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1354752, while the sum is 50.

The spelling of 13837247681 in words is "thirteen billion, eight hundred thirty-seven million, two hundred forty-seven thousand, six hundred eighty-one".