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677586109129 is a prime number
BaseRepresentation
bin10011101110000110100…
…01111000001011001001
32101202222010210202201121
421313003101320023021
542100144020443004
61235140113515241
766645133616626
oct11670321701311
92352863722647
10677586109129
112413a976a746
12ab3a2272b21
134bb85951b17
1424b1c5c534d
151295b46e854
hex9dc34782c9

677586109129 has 2 divisors, whose sum is σ = 677586109130. Its totient is φ = 677586109128.

The previous prime is 677586109087. The next prime is 677586109153. The reversal of 677586109129 is 921901685776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 420095829904 + 257490279225 = 648148^2 + 507435^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-677586109129 is a prime.

It is not a weakly prime, because it can be changed into another prime (677586119129) 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, 338793054564 + 338793054565.

It is an arithmetic number, because the mean of its divisors is an integer number (338793054565).

Almost surely, 2677586109129 is an apocalyptic number.

It is an amenable number.

677586109129 is a deficient number, since it is larger than the sum of its proper divisors (1).

677586109129 is an equidigital number, since it uses as much as digits as its factorization.

677586109129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11430720, while the sum is 61.

The spelling of 677586109129 in words is "six hundred seventy-seven billion, five hundred eighty-six million, one hundred nine thousand, one hundred twenty-nine".