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56729181617 is a prime number
BaseRepresentation
bin110100110101010100…
…101001110110110001
312102102112222000102122
4310311110221312301
51412140132302432
642021103124025
74045542042023
oct646524516661
9172375860378
1056729181617
1122071164879
12abb25a3615
135470c244b4
142a62312013
151720516612
hexd35529db1

56729181617 has 2 divisors, whose sum is σ = 56729181618. Its totient is φ = 56729181616.

The previous prime is 56729181583. The next prime is 56729181623. The reversal of 56729181617 is 71618192765.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37018144801 + 19711036816 = 192401^2 + 140396^2 .

It is a cyclic number.

It is not a de Polignac number, because 56729181617 - 230 = 55655439793 is a prime.

It is not a weakly prime, because it can be changed into another prime (56729181637) 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, 28364590808 + 28364590809.

It is an arithmetic number, because the mean of its divisors is an integer number (28364590809).

Almost surely, 256729181617 is an apocalyptic number.

It is an amenable number.

56729181617 is a deficient number, since it is larger than the sum of its proper divisors (1).

56729181617 is an equidigital number, since it uses as much as digits as its factorization.

56729181617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1270080, while the sum is 53.

The spelling of 56729181617 in words is "fifty-six billion, seven hundred twenty-nine million, one hundred eighty-one thousand, six hundred seventeen".