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45205888417 is a prime number
BaseRepresentation
bin101010000110011110…
…110001110110100001
311022200110212001212121
4222012132301312201
51220040201412132
632433423024241
73160146466024
oct520636616641
9138613761777
1045205888417
1118198600068
12891743b081
13435577a701
14228bb451bb
151298a5c497
hexa867b1da1

45205888417 has 2 divisors, whose sum is σ = 45205888418. Its totient is φ = 45205888416.

The previous prime is 45205888397. The next prime is 45205888447. The reversal of 45205888417 is 71488850254.

45205888417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34622417041 + 10583471376 = 186071^2 + 102876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45205888417 is a prime.

It is not a weakly prime, because it can be changed into another prime (45205888447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22602944208 + 22602944209.

It is an arithmetic number, because the mean of its divisors is an integer number (22602944209).

Almost surely, 245205888417 is an apocalyptic number.

It is an amenable number.

45205888417 is a deficient number, since it is larger than the sum of its proper divisors (1).

45205888417 is an equidigital number, since it uses as much as digits as its factorization.

45205888417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2867200, while the sum is 52.

The spelling of 45205888417 in words is "forty-five billion, two hundred five million, eight hundred eighty-eight thousand, four hundred seventeen".