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19629434141 is a prime number
BaseRepresentation
bin10010010010000000…
…010110010100011101
31212200000020120110022
4102102000112110131
5310200113343031
613003450521525
71263302302652
oct222200262435
955600216408
1019629434141
118363338449
123979a362a5
131b0a9a08b5
14d42dc3c29
1579d46d97b
hex49201651d

19629434141 has 2 divisors, whose sum is σ = 19629434142. Its totient is φ = 19629434140.

The previous prime is 19629434129. The next prime is 19629434159. The reversal of 19629434141 is 14143492691.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19482297241 + 147136900 = 139579^2 + 12130^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-19629434141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 19629434092 and 19629434101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (19629430141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9814717070 + 9814717071.

It is an arithmetic number, because the mean of its divisors is an integer number (9814717071).

Almost surely, 219629434141 is an apocalyptic number.

It is an amenable number.

19629434141 is a deficient number, since it is larger than the sum of its proper divisors (1).

19629434141 is an equidigital number, since it uses as much as digits as its factorization.

19629434141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 186624, while the sum is 44.

The spelling of 19629434141 in words is "nineteen billion, six hundred twenty-nine million, four hundred thirty-four thousand, one hundred forty-one".