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450316504961 is a prime number
BaseRepresentation
bin1101000110110001111…
…01001000111110000001
31121001100022221122210122
412203120331020332001
524334222011124321
6542512245310025
744351156064521
oct6433075107601
91531308848718
10450316504961
11163a83a222a4
1273336105315
1333606b374bb
1417b1c961681
15baa8e5c8ab
hex68d8f48f81

450316504961 has 2 divisors, whose sum is σ = 450316504962. Its totient is φ = 450316504960.

The previous prime is 450316504927. The next prime is 450316504993. The reversal of 450316504961 is 169405613054.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331666569025 + 118649935936 = 575905^2 + 344456^2 .

It is a cyclic number.

It is not a de Polignac number, because 450316504961 - 210 = 450316503937 is a prime.

It is a super-2 number, since 2×4503165049612 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (450316504921) 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, 225158252480 + 225158252481.

It is an arithmetic number, because the mean of its divisors is an integer number (225158252481).

Almost surely, 2450316504961 is an apocalyptic number.

It is an amenable number.

450316504961 is a deficient number, since it is larger than the sum of its proper divisors (1).

450316504961 is an equidigital number, since it uses as much as digits as its factorization.

450316504961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 450316504961 in words is "four hundred fifty billion, three hundred sixteen million, five hundred four thousand, nine hundred sixty-one".