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5654242166401 is a prime number
BaseRepresentation
bin101001001000111101100…
…0110001000011010000001
3202000112120212011201211101
41102101323012020122001
51220114341443311101
620005304544414401
71122335251264033
oct122217306103201
922015525151741
105654242166401
11188aa5032a554
127739b6317401
13320267611b0a
1415794990bc53
159c12e592401
hex5247b188681

5654242166401 has 2 divisors, whose sum is σ = 5654242166402. Its totient is φ = 5654242166400.

The previous prime is 5654242166389. The next prime is 5654242166501. The reversal of 5654242166401 is 1046612424565.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4098098189376 + 1556143977025 = 2024376^2 + 1247455^2 .

It is a cyclic number.

It is not a de Polignac number, because 5654242166401 - 233 = 5645652231809 is a prime.

It is not a weakly prime, because it can be changed into another prime (5654242166501) 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, 2827121083200 + 2827121083201.

It is an arithmetic number, because the mean of its divisors is an integer number (2827121083201).

Almost surely, 25654242166401 is an apocalyptic number.

It is an amenable number.

5654242166401 is a deficient number, since it is larger than the sum of its proper divisors (1).

5654242166401 is an equidigital number, since it uses as much as digits as its factorization.

5654242166401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 5654242166401 in words is "five trillion, six hundred fifty-four billion, two hundred forty-two million, one hundred sixty-six thousand, four hundred one".