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257340616229 is a prime number
BaseRepresentation
bin1110111110101010110…
…0100010111000100101
3220121020111202210112102
43233222230202320211
513204013144204404
6314115354301445
724410066101154
oct3575254427045
9817214683472
10257340616229
119a157083934
1241a5aa27885
131b361b13aa8
14c6536b559b
156a624b671e
hex3beab22e25

257340616229 has 2 divisors, whose sum is σ = 257340616230. Its totient is φ = 257340616228.

The previous prime is 257340616223. The next prime is 257340616243. The reversal of 257340616229 is 922616043752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254547493729 + 2793122500 = 504527^2 + 52850^2 .

It is a cyclic number.

It is not a de Polignac number, because 257340616229 - 228 = 257072180773 is a prime.

It is a super-2 number, since 2×2573406162292 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257340616223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128670308114 + 128670308115.

It is an arithmetic number, because the mean of its divisors is an integer number (128670308115).

Almost surely, 2257340616229 is an apocalyptic number.

It is an amenable number.

257340616229 is a deficient number, since it is larger than the sum of its proper divisors (1).

257340616229 is an equidigital number, since it uses as much as digits as its factorization.

257340616229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 257340616229 in words is "two hundred fifty-seven billion, three hundred forty million, six hundred sixteen thousand, two hundred twenty-nine".