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616617054344261 is a prime number
BaseRepresentation
bin1000110000110011110101100…
…0011111001001010001000101
32222212021000101201021111011002
42030030331120133021101011
51121310123211403004021
610023233544132423045
7243611053300545155
oct21414753037112105
92885230351244132
10616617054344261
111695229080051a3
12591a8623a77a85
132060a97ac923a9
14ac3a5d3418765
154b4495827550b
hex230cf587c9445

616617054344261 has 2 divisors, whose sum is σ = 616617054344262. Its totient is φ = 616617054344260.

The previous prime is 616617054344167. The next prime is 616617054344267. The reversal of 616617054344261 is 162443450716616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 599158286844100 + 17458767500161 = 24477710^2 + 4178369^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-616617054344261 is a prime.

It is a super-2 number, since 2×6166170543442612 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 616617054344197 and 616617054344206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (616617054344267) 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, 308308527172130 + 308308527172131.

It is an arithmetic number, because the mean of its divisors is an integer number (308308527172131).

Almost surely, 2616617054344261 is an apocalyptic number.

It is an amenable number.

616617054344261 is a deficient number, since it is larger than the sum of its proper divisors (1).

616617054344261 is an equidigital number, since it uses as much as digits as its factorization.

616617054344261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17418240, while the sum is 56.

The spelling of 616617054344261 in words is "six hundred sixteen trillion, six hundred seventeen billion, fifty-four million, three hundred forty-four thousand, two hundred sixty-one".