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677780000041 is a prime number
BaseRepresentation
bin10011101110011101101…
…01100000110100101001
32101210110122122110001111
421313032311200310221
542101043140000131
61235211241350321
766653006641354
oct11671665406451
92353418573044
10677780000041
1124149915a871
12ab4371983a1
134bbb6b7a581
1424b3a25729b
151296d4bdab1
hex9dced60d29

677780000041 has 2 divisors, whose sum is σ = 677780000042. Its totient is φ = 677780000040.

The previous prime is 677779999999. The next prime is 677780000047. The reversal of 677780000041 is 140000087776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 360384102400 + 317395897641 = 600320^2 + 563379^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-677780000041 is a prime.

It is a super-3 number, since 3×6777800000413 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 677779999949 and 677780000003.

It is not a weakly prime, because it can be changed into another prime (677780000047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338890000020 + 338890000021.

It is an arithmetic number, because the mean of its divisors is an integer number (338890000021).

Almost surely, 2677780000041 is an apocalyptic number.

It is an amenable number.

677780000041 is a deficient number, since it is larger than the sum of its proper divisors (1).

677780000041 is an equidigital number, since it uses as much as digits as its factorization.

677780000041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65856, while the sum is 40.

The spelling of 677780000041 in words is "six hundred seventy-seven billion, seven hundred eighty million, forty-one", and thus it is an aban number.