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64730045241 = 3123492
BaseRepresentation
bin111100010010001101…
…100001101100111001
320012002011000000000000
4330102031201230321
52030031342421431
645423033303213
74451033210031
oct742215415471
9205064000000
1064730045241
11254a7472064
1210665b64b09
1361476aa724
1431c0b628c1
151a3cb329e6
hexf12361b39

64730045241 has 39 divisors (see below), whose sum is σ = 97374013311. Its totient is φ = 43029714888.

The previous prime is 64730045213. The next prime is 64730045269. The reversal of 64730045241 is 14254003746.

The square root of 64730045241 is 254421.

It is a perfect power (a square), and thus also a powerful number.

64730045241 is a `hidden beast` number, since 64 + 73 + 0 + 0 + 4 + 524 + 1 = 666.

64730045241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64730045213) and next prime (64730045269).

It can be written as a sum of positive squares in only one way, i.e., 47511356841 + 17218688400 = 217971^2 + 131220^2 .

It is not a de Polignac number, because 64730045241 - 231 = 62582561593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 64730045196 and 64730045205.

It is not an unprimeable number, because it can be changed into a prime (64730047241) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 185472735 + ... + 185473083.

Almost surely, 264730045241 is an apocalyptic number.

64730045241 is the 254421-st square number.

64730045241 is the 127211-st centered octagonal number.

It is an amenable number.

64730045241 is a deficient number, since it is larger than the sum of its proper divisors (32643968070).

64730045241 is an frugal number, since it uses more digits than its factorization.

64730045241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 64730045241 by its sum of digits (36), we get a square (2330281628676 = 15265262).

Adding to 64730045241 its reverse (14254003746), we get a palindrome (78984048987).

The spelling of 64730045241 in words is "sixty-four billion, seven hundred thirty million, forty-five thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 243 349 729 1047 2187 3141 6561 9423 19683 28269 59049 84807 121801 177147 254421 365403 531441 763263 1096209 2289789 3288627 6869367 9865881 20608101 29597643 61824303 88792929 185472909 266378787 799136361 2397409083 7192227249 21576681747 64730045241