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1829740153 is a prime number
BaseRepresentation
bin110110100001111…
…1001111001111001
311201111222102121211
41231003321321321
512221403141103
6501321403121
763225351253
oct15503717171
94644872554
101829740153
1185992794a
124309394a1
132321039a7
14135018cd3
15aa98036d
hex6d0f9e79

1829740153 has 2 divisors, whose sum is σ = 1829740154. Its totient is φ = 1829740152.

The previous prime is 1829740111. The next prime is 1829740189. The reversal of 1829740153 is 3510479281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 931958784 + 897781369 = 30528^2 + 29963^2 .

It is an emirp because it is prime and its reverse (3510479281) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1829740153 - 29 = 1829739641 is a prime.

It is not a weakly prime, because it can be changed into another prime (1829740103) 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, 914870076 + 914870077.

It is an arithmetic number, because the mean of its divisors is an integer number (914870077).

Almost surely, 21829740153 is an apocalyptic number.

It is an amenable number.

1829740153 is a deficient number, since it is larger than the sum of its proper divisors (1).

1829740153 is an equidigital number, since it uses as much as digits as its factorization.

1829740153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 1829740153 is about 42775.4620430919. The cubic root of 1829740153 is about 1223.1033045523.

The spelling of 1829740153 in words is "one billion, eight hundred twenty-nine million, seven hundred forty thousand, one hundred fifty-three".