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256105104089 is a prime number
BaseRepresentation
bin1110111010000100001…
…1011100001011011001
3220111001101221021111112
43232201003130023121
513144000401312324
6313353021110105
724334344316022
oct3564103341331
9814041837445
10256105104089
119968272231a
12417750b8335
131b1c5b67713
14c57757dc49
1569ddcb3c0e
hex3ba10dc2d9

256105104089 has 2 divisors, whose sum is σ = 256105104090. Its totient is φ = 256105104088.

The previous prime is 256105104083. The next prime is 256105104137. The reversal of 256105104089 is 980401501652.

256105104089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248310862864 + 7794241225 = 498308^2 + 88285^2 .

It is a cyclic number.

It is not a de Polignac number, because 256105104089 - 232 = 251810136793 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (256105104083) 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, 128052552044 + 128052552045.

It is an arithmetic number, because the mean of its divisors is an integer number (128052552045).

Almost surely, 2256105104089 is an apocalyptic number.

It is an amenable number.

256105104089 is a deficient number, since it is larger than the sum of its proper divisors (1).

256105104089 is an equidigital number, since it uses as much as digits as its factorization.

256105104089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 41.

The spelling of 256105104089 in words is "two hundred fifty-six billion, one hundred five million, one hundred four thousand, eighty-nine".