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461456214731437 is a prime number
BaseRepresentation
bin110100011101100010010010…
…1110000100010101010101101
32020111212210011000120200001011
41220323010211300202222231
5440440444311432401222
64313234020344545221
7166125053116023322
oct15073044560425255
92214783130520034
10461456214731437
11124041533093822
1243909380782211
1316a641991831b3
1481d4858424b49
1538538060d7c77
hex1a3b125c22aad

461456214731437 has 2 divisors, whose sum is σ = 461456214731438. Its totient is φ = 461456214731436.

The previous prime is 461456214731423. The next prime is 461456214731489. The reversal of 461456214731437 is 734137412654164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 460901258269321 + 554956462116 = 21468611^2 + 744954^2 .

It is a cyclic number.

It is not a de Polignac number, because 461456214731437 - 215 = 461456214698669 is a prime.

It is a super-3 number, since 3×4614562147314373 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (461456214731737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230728107365718 + 230728107365719.

It is an arithmetic number, because the mean of its divisors is an integer number (230728107365719).

Almost surely, 2461456214731437 is an apocalyptic number.

It is an amenable number.

461456214731437 is a deficient number, since it is larger than the sum of its proper divisors (1).

461456214731437 is an equidigital number, since it uses as much as digits as its factorization.

461456214731437 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40642560, while the sum is 58.

The spelling of 461456214731437 in words is "four hundred sixty-one trillion, four hundred fifty-six billion, two hundred fourteen million, seven hundred thirty-one thousand, four hundred thirty-seven".