Search a number
-
+
45960900217 is a prime number
BaseRepresentation
bin101010110011011110…
…111010111001111001
311101122002112122100121
4222303132322321321
51223111442301332
633040353333241
73214645130431
oct526336727171
9141562478317
1045960900217
1118545803661
128aa8267221
13444600b45b
14232011d2c1
1512dee99797
hexab37bae79

45960900217 has 2 divisors, whose sum is σ = 45960900218. Its totient is φ = 45960900216.

The previous prime is 45960900211. The next prime is 45960900221. The reversal of 45960900217 is 71200906954.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32788517776 + 13172382441 = 181076^2 + 114771^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45960900217 is a prime.

It is a super-2 number, since 2×459609002172 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (45960900211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22980450108 + 22980450109.

It is an arithmetic number, because the mean of its divisors is an integer number (22980450109).

Almost surely, 245960900217 is an apocalyptic number.

It is an amenable number.

45960900217 is a deficient number, since it is larger than the sum of its proper divisors (1).

45960900217 is an equidigital number, since it uses as much as digits as its factorization.

45960900217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 43.

The spelling of 45960900217 in words is "forty-five billion, nine hundred sixty million, nine hundred thousand, two hundred seventeen".