Search a number
-
+
667745200601 is a prime number
BaseRepresentation
bin10011011011110001011…
…01110010100111011001
32100211120022101211001222
421231320231302213121
541420020232404401
61230431413021425
766146230361333
oct11557055624731
92324508354058
10667745200601
11238209837496
12a94b6624875
134ac77bc771b
1424467636453
1512582539c1b
hex9b78b729d9

667745200601 has 2 divisors, whose sum is σ = 667745200602. Its totient is φ = 667745200600.

The previous prime is 667745200523. The next prime is 667745200627. The reversal of 667745200601 is 106002547766.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 409555201225 + 258189999376 = 639965^2 + 508124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-667745200601 is a prime.

It is a super-2 number, since 2×6677452006012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (667745200301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 333872600300 + 333872600301.

It is an arithmetic number, because the mean of its divisors is an integer number (333872600301).

Almost surely, 2667745200601 is an apocalyptic number.

It is an amenable number.

667745200601 is a deficient number, since it is larger than the sum of its proper divisors (1).

667745200601 is an equidigital number, since it uses as much as digits as its factorization.

667745200601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 44.

The spelling of 667745200601 in words is "six hundred sixty-seven billion, seven hundred forty-five million, two hundred thousand, six hundred one".