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8014584422461 is a prime number
BaseRepresentation
bin111010010100000101001…
…1101010010000000111101
31001101012001011112211100011
41310220022131102000331
52022302332103004321
625013503234503221
71455014605364311
oct164501235220075
931335034484304
108014584422461
11260aa69a6a741
12a95344134b11
13461a06306436
141d9c9d605b41
15dd72753aae1
hex74a0a75203d

8014584422461 has 2 divisors, whose sum is σ = 8014584422462. Its totient is φ = 8014584422460.

The previous prime is 8014584422447. The next prime is 8014584422513. The reversal of 8014584422461 is 1642244854108.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7607915480025 + 406668942436 = 2758245^2 + 637706^2 .

It is a cyclic number.

It is not a de Polignac number, because 8014584422461 - 27 = 8014584422333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8014581422461) 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, 4007292211230 + 4007292211231.

It is an arithmetic number, because the mean of its divisors is an integer number (4007292211231).

Almost surely, 28014584422461 is an apocalyptic number.

It is an amenable number.

8014584422461 is a deficient number, since it is larger than the sum of its proper divisors (1).

8014584422461 is an equidigital number, since it uses as much as digits as its factorization.

8014584422461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1966080, while the sum is 49.

The spelling of 8014584422461 in words is "eight trillion, fourteen billion, five hundred eighty-four million, four hundred twenty-two thousand, four hundred sixty-one".