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1378509546721 is a prime number
BaseRepresentation
bin10100000011110101100…
…100100110010011100001
311212210011200220122200211
4110003311210212103201
5140041141420443341
62533140055414121
7201410515546216
oct24036544462341
94783150818624
101378509546721
114916937796aa
121a31b8084341
139ccba500428
144aa123c7b0d
1525cd1633181
hex140f59264e1

1378509546721 has 2 divisors, whose sum is σ = 1378509546722. Its totient is φ = 1378509546720.

The previous prime is 1378509546719. The next prime is 1378509546763. The reversal of 1378509546721 is 1276459058731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1356572678400 + 21936868321 = 1164720^2 + 148111^2 .

It is a cyclic number.

It is not a de Polignac number, because 1378509546721 - 21 = 1378509546719 is a prime.

It is a super-4 number, since 4×13785095467214 (a number of 50 digits) contains 4444 as substring.

Together with 1378509546719, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1378509576721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 689254773360 + 689254773361.

It is an arithmetic number, because the mean of its divisors is an integer number (689254773361).

It is a 1-persistent number, because it is pandigital, but 2⋅1378509546721 = 2757019093442 is not.

Almost surely, 21378509546721 is an apocalyptic number.

It is an amenable number.

1378509546721 is a deficient number, since it is larger than the sum of its proper divisors (1).

1378509546721 is an equidigital number, since it uses as much as digits as its factorization.

1378509546721 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12700800, while the sum is 58.

The spelling of 1378509546721 in words is "one trillion, three hundred seventy-eight billion, five hundred nine million, five hundred forty-six thousand, seven hundred twenty-one".