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51456403793 is a prime number
BaseRepresentation
bin101111111011000010…
…100110100101010001
311220211002022011001002
4233323002212211101
51320340314410133
635345545151345
73501065133644
oct577302464521
9156732264032
1051456403793
111a905886853
129b8078b555
134b10709612
1426c1d25a5b
15151267bce8
hexbfb0a6951

51456403793 has 2 divisors, whose sum is σ = 51456403794. Its totient is φ = 51456403792.

The previous prime is 51456403771. The next prime is 51456403853. The reversal of 51456403793 is 39730465415.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48063108289 + 3393295504 = 219233^2 + 58252^2 .

It is a cyclic number.

It is not a de Polignac number, because 51456403793 - 234 = 34276534609 is a prime.

It is a super-3 number, since 3×514564037933 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (51456403723) 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, 25728201896 + 25728201897.

It is an arithmetic number, because the mean of its divisors is an integer number (25728201897).

Almost surely, 251456403793 is an apocalyptic number.

It is an amenable number.

51456403793 is a deficient number, since it is larger than the sum of its proper divisors (1).

51456403793 is an equidigital number, since it uses as much as digits as its factorization.

51456403793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1360800, while the sum is 47.

The spelling of 51456403793 in words is "fifty-one billion, four hundred fifty-six million, four hundred three thousand, seven hundred ninety-three".