Search a number
-
+
40760587657 is a prime number
BaseRepresentation
bin100101111101100001…
…010011010110001001
310220012200020101121201
4211331201103112021
51131434202301112
630420344504201
72642041164346
oct457541232611
9126180211551
1040760587657
111631731a889
127a9677b061
133ac781622a
141d895d77cd
1510d8676257
hex97d853589

40760587657 has 2 divisors, whose sum is σ = 40760587658. Its totient is φ = 40760587656.

The previous prime is 40760587627. The next prime is 40760587661. The reversal of 40760587657 is 75678506704.

40760587657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38628364681 + 2132222976 = 196541^2 + 46176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40760587657 is a prime.

It is a super-2 number, since 2×407605876572 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40760587598 and 40760587607.

It is not a weakly prime, because it can be changed into another prime (40760587627) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20380293828 + 20380293829.

It is an arithmetic number, because the mean of its divisors is an integer number (20380293829).

Almost surely, 240760587657 is an apocalyptic number.

It is an amenable number.

40760587657 is a deficient number, since it is larger than the sum of its proper divisors (1).

40760587657 is an equidigital number, since it uses as much as digits as its factorization.

40760587657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9878400, while the sum is 55.

The spelling of 40760587657 in words is "forty billion, seven hundred sixty million, five hundred eighty-seven thousand, six hundred fifty-seven".