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3057789436129 is a prime number
BaseRepresentation
bin101100011111110010011…
…101000000000011100001
3101211022200121021210122101
4230133302131000003201
5400044323043424004
610300421251410401
7433626605234131
oct54376235000341
911738617253571
103057789436129
11a7988a46944a
124147535b3a01
1319246b2ca31c
14a7dd7d5cac1
1554817d8eba4
hex2c7f27400e1

3057789436129 has 2 divisors, whose sum is σ = 3057789436130. Its totient is φ = 3057789436128.

The previous prime is 3057789436103. The next prime is 3057789436159. The reversal of 3057789436129 is 9216349877503.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2980291227904 + 77498208225 = 1726352^2 + 278385^2 .

It is a cyclic number.

It is not a de Polignac number, because 3057789436129 - 223 = 3057781047521 is a prime.

It is not a weakly prime, because it can be changed into another prime (3057789436159) 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, 1528894718064 + 1528894718065.

It is an arithmetic number, because the mean of its divisors is an integer number (1528894718065).

It is a 1-persistent number, because it is pandigital, but 2⋅3057789436129 = 6115578872258 is not.

Almost surely, 23057789436129 is an apocalyptic number.

It is an amenable number.

3057789436129 is a deficient number, since it is larger than the sum of its proper divisors (1).

3057789436129 is an equidigital number, since it uses as much as digits as its factorization.

3057789436129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 3057789436129 in words is "three trillion, fifty-seven billion, seven hundred eighty-nine million, four hundred thirty-six thousand, one hundred twenty-nine".