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45015264001 is a prime number
BaseRepresentation
bin101001111011000111…
…100110101100000001
311022012012011100100001
4221323013212230001
51214142401422001
632402453200001
73152343300511
oct517307465401
9138165140301
1045015264001
11180aaa41124
128883630001
1343251269b6
1422706c3841
151286e56001
hexa7b1e6b01

45015264001 has 2 divisors, whose sum is σ = 45015264002. Its totient is φ = 45015264000.

The previous prime is 45015263941. The next prime is 45015264011. The reversal of 45015264001 is 10046251054.

45015264001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42932254401 + 2083009600 = 207201^2 + 45640^2 .

It is a cyclic number.

It is not a de Polignac number, because 45015264001 - 231 = 42867780353 is a prime.

It is a super-3 number, since 3×450152640013 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (45015264011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22507632000 + 22507632001.

It is an arithmetic number, because the mean of its divisors is an integer number (22507632001).

Almost surely, 245015264001 is an apocalyptic number.

It is an amenable number.

45015264001 is a deficient number, since it is larger than the sum of its proper divisors (1).

45015264001 is an equidigital number, since it uses as much as digits as its factorization.

45015264001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 45015264001 in words is "forty-five billion, fifteen million, two hundred sixty-four thousand, one".