Search a number
-
+
677654121569 is a prime number
BaseRepresentation
bin10011101110001110101…
…01010100110001100001
32101210010212210011020212
421313013111110301201
542100313423342234
61235150543343505
766646620664625
oct11670725246141
92353125704225
10677654121569
112414340a3477
12ab400bb1b95
134bb96a75a79
1424b2764b185
15129624065ce
hex9dc7554c61

677654121569 has 2 divisors, whose sum is σ = 677654121570. Its totient is φ = 677654121568.

The previous prime is 677654121559. The next prime is 677654121637. The reversal of 677654121569 is 965121456776.

677654121569 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 385967715169 + 291686406400 = 621263^2 + 540080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-677654121569 is a prime.

It is a super-2 number, since 2×6776541215692 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (677654121559) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338827060784 + 338827060785.

It is an arithmetic number, because the mean of its divisors is an integer number (338827060785).

Almost surely, 2677654121569 is an apocalyptic number.

It is an amenable number.

677654121569 is a deficient number, since it is larger than the sum of its proper divisors (1).

677654121569 is an equidigital number, since it uses as much as digits as its factorization.

677654121569 is an evil number, because the sum of its binary digits is even.

The product of its digits is 19051200, while the sum is 59.

The spelling of 677654121569 in words is "six hundred seventy-seven billion, six hundred fifty-four million, one hundred twenty-one thousand, five hundred sixty-nine".