Search a number
-
+
39575461301681 is a prime number
BaseRepresentation
bin10001111111110011000010…
…10100000000110110110001
312012010101011221110121110012
420333321201110000312301
520141401021043123211
6220100414350344305
711223142552461134
oct1077714124006661
9165111157417405
1039575461301681
111167894a1a1508
124531ba5abb095
131910c47178ab6
149ab66933021b
154896addc2d8b
hex23fe61500db1

39575461301681 has 2 divisors, whose sum is σ = 39575461301682. Its totient is φ = 39575461301680.

The previous prime is 39575461301669. The next prime is 39575461301699. The reversal of 39575461301681 is 18610316457593.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35012072410000 + 4563388891681 = 5917100^2 + 2136209^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-39575461301681 is a prime.

It is a super-2 number, since 2×395754613016812 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39575461301681.

It is not a weakly prime, because it can be changed into another prime (39575461321681) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19787730650840 + 19787730650841.

It is an arithmetic number, because the mean of its divisors is an integer number (19787730650841).

Almost surely, 239575461301681 is an apocalyptic number.

It is an amenable number.

39575461301681 is a deficient number, since it is larger than the sum of its proper divisors (1).

39575461301681 is an equidigital number, since it uses as much as digits as its factorization.

39575461301681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16329600, while the sum is 59.

The spelling of 39575461301681 in words is "thirty-nine trillion, five hundred seventy-five billion, four hundred sixty-one million, three hundred one thousand, six hundred eighty-one".