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56678000761 is a prime number
BaseRepresentation
bin110100110010010001…
…011010100001111001
312102021222122202111101
4310302101122201321
51412034032011021
642012034131401
74044351025504
oct646221324171
9172258582441
1056678000761
1122045287948
12ab99420b61
135463444775
142a595cc13b
15171aca6a91
hexd3245a879

56678000761 has 2 divisors, whose sum is σ = 56678000762. Its totient is φ = 56678000760.

The previous prime is 56678000747. The next prime is 56678000767. The reversal of 56678000761 is 16700087665.

56678000761 = T194383 + T194384 + T194385.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 47358029161 + 9319971600 = 217619^2 + 96540^2 .

It is a cyclic number.

It is not a de Polignac number, because 56678000761 - 219 = 56677476473 is a prime.

It is not a weakly prime, because it can be changed into another prime (56678000767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28339000380 + 28339000381.

It is an arithmetic number, because the mean of its divisors is an integer number (28339000381).

Almost surely, 256678000761 is an apocalyptic number.

56678000761 is the 194385-th centered triangular number.

It is an amenable number.

56678000761 is a deficient number, since it is larger than the sum of its proper divisors (1).

56678000761 is an equidigital number, since it uses as much as digits as its factorization.

56678000761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 56678000761 in words is "fifty-six billion, six hundred seventy-eight million, seven hundred sixty-one", and thus it is an aban number.