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145552056217 is a prime number
BaseRepresentation
bin1000011110001110010…
…1000001111110011001
3111220200202212120001221
42013203211001332121
54341042311244332
6150510553412041
713341626031061
oct2074345017631
9456622776057
10145552056217
1156801383157
122426110a021
1310957c00c69
14708ab563a1
153bbd375297
hex21e3941f99

145552056217 has 2 divisors, whose sum is σ = 145552056218. Its totient is φ = 145552056216.

The previous prime is 145552056179. The next prime is 145552056359. The reversal of 145552056217 is 712650255541.

145552056217 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., 77921372736 + 67630683481 = 279144^2 + 260059^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-145552056217 is a prime.

It is not a weakly prime, because it can be changed into another prime (145552051217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72776028108 + 72776028109.

It is an arithmetic number, because the mean of its divisors is an integer number (72776028109).

Almost surely, 2145552056217 is an apocalyptic number.

It is an amenable number.

145552056217 is a deficient number, since it is larger than the sum of its proper divisors (1).

145552056217 is an equidigital number, since it uses as much as digits as its factorization.

145552056217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420000, while the sum is 43.

The spelling of 145552056217 in words is "one hundred forty-five billion, five hundred fifty-two million, fifty-six thousand, two hundred seventeen".