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29405730579457 is a prime number
BaseRepresentation
bin1101010111110100011100…
…01000000010010000000001
310212010011022220221022011111
412223322032020002100001
512323240414012020312
6142312450043043321
76123331262561011
oct653721610022001
9125104286838144
1029405730579457
11940799a340741
12336b03b810541
131353c43ac867b
14739360221c41
1535ed9d0c58a7
hex1abe8e202401

29405730579457 has 2 divisors, whose sum is σ = 29405730579458. Its totient is φ = 29405730579456.

The previous prime is 29405730579397. The next prime is 29405730579493. The reversal of 29405730579457 is 75497503750492.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22920309450256 + 6485421129201 = 4787516^2 + 2546649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-29405730579457 is a prime.

It is a super-2 number, since 2×294057305794572 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29405730579392 and 29405730579401.

It is not a weakly prime, because it can be changed into another prime (29405730570457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14702865289728 + 14702865289729.

It is an arithmetic number, because the mean of its divisors is an integer number (14702865289729).

Almost surely, 229405730579457 is an apocalyptic number.

It is an amenable number.

29405730579457 is a deficient number, since it is larger than the sum of its proper divisors (1).

29405730579457 is an equidigital number, since it uses as much as digits as its factorization.

29405730579457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 333396000, while the sum is 67.

The spelling of 29405730579457 in words is "twenty-nine trillion, four hundred five billion, seven hundred thirty million, five hundred seventy-nine thousand, four hundred fifty-seven".