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13629741617 is a prime number
BaseRepresentation
bin11001011000110010…
…10101101000110001
31022011212202121120002
430230121111220301
5210403203212432
610132244355345
7661520615012
oct145431255061
938155677502
1013629741617
1158646a7678
1227846a5b55
1313929b1a8b
14934255009
1554b896e62
hex32c655a31

13629741617 has 2 divisors, whose sum is σ = 13629741618. Its totient is φ = 13629741616.

The previous prime is 13629741497. The next prime is 13629741623. The reversal of 13629741617 is 71614792631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12062848561 + 1566893056 = 109831^2 + 39584^2 .

It is a cyclic number.

It is not a de Polignac number, because 13629741617 - 218 = 13629479473 is a prime.

It is not a weakly prime, because it can be changed into another prime (13629747617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6814870808 + 6814870809.

It is an arithmetic number, because the mean of its divisors is an integer number (6814870809).

Almost surely, 213629741617 is an apocalyptic number.

It is an amenable number.

13629741617 is a deficient number, since it is larger than the sum of its proper divisors (1).

13629741617 is an equidigital number, since it uses as much as digits as its factorization.

13629741617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 381024, while the sum is 47.

The spelling of 13629741617 in words is "thirteen billion, six hundred twenty-nine million, seven hundred forty-one thousand, six hundred seventeen".