Search a number
-
+
677562405697 is a prime number
BaseRepresentation
bin10011101110000011101…
…11011101001101000001
32101202220111012111201201
421313001313131031001
542100121433440242
61235133505501201
766644425264462
oct11670167351501
92352814174651
10677562405697
1124139734aa31
12ab396341801
134bb80a72b18
1424b193b4d69
151295933b4b7
hex9dc1ddd341

677562405697 has 2 divisors, whose sum is σ = 677562405698. Its totient is φ = 677562405696.

The previous prime is 677562405671. The next prime is 677562405721. The reversal of 677562405697 is 796504265776.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 359809225281 + 317753180416 = 599841^2 + 563696^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-677562405697 is a prime.

It is a super-2 number, since 2×6775624056972 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (677562405097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 338781202848 + 338781202849.

It is an arithmetic number, because the mean of its divisors is an integer number (338781202849).

Almost surely, 2677562405697 is an apocalyptic number.

It is an amenable number.

677562405697 is a deficient number, since it is larger than the sum of its proper divisors (1).

677562405697 is an equidigital number, since it uses as much as digits as its factorization.

677562405697 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 133358400, while the sum is 64.

The spelling of 677562405697 in words is "six hundred seventy-seven billion, five hundred sixty-two million, four hundred five thousand, six hundred ninety-seven".