Search a number
-
+
146812388617 is a prime number
BaseRepresentation
bin1000100010111010110…
…0110100010100001001
3112000221121102002002201
42020232230310110021
54401132432413432
6151240015000201
713415101466416
oct2105654642411
9460847362081
10146812388617
1157298847584
1224553209061
1310ac905a78b
14716a2ad10d
153c43d2bee7
hex222eb34509

146812388617 has 2 divisors, whose sum is σ = 146812388618. Its totient is φ = 146812388616.

The previous prime is 146812388573. The next prime is 146812388623. The reversal of 146812388617 is 716883218641.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136394307856 + 10418080761 = 369316^2 + 102069^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-146812388617 is a prime.

It is a super-3 number, since 3×1468123886173 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (146812388677) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73406194308 + 73406194309.

It is an arithmetic number, because the mean of its divisors is an integer number (73406194309).

Almost surely, 2146812388617 is an apocalyptic number.

It is an amenable number.

146812388617 is a deficient number, since it is larger than the sum of its proper divisors (1).

146812388617 is an equidigital number, since it uses as much as digits as its factorization.

146812388617 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3096576, while the sum is 55.

The spelling of 146812388617 in words is "one hundred forty-six billion, eight hundred twelve million, three hundred eighty-eight thousand, six hundred seventeen".