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57149290130953 is a prime number
BaseRepresentation
bin11001111111010000110110…
…01000110010111000001001
321111100102022021211200010111
430333220123020302320021
524442313221233142303
6321314004344314321
715015620454025456
oct1477503310627011
9244312267750114
1057149290130953
1117233972444449
1264abab97729a1
1325b72025145a7
14101807cc0882d
156918b696bb6d
hex33fa1b232e09

57149290130953 has 2 divisors, whose sum is σ = 57149290130954. Its totient is φ = 57149290130952.

The previous prime is 57149290130921. The next prime is 57149290130957. The reversal of 57149290130953 is 35903109294175.

57149290130953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52906958996089 + 4242331134864 = 7273717^2 + 2059692^2 .

It is a cyclic number.

It is not a de Polignac number, because 57149290130953 - 25 = 57149290130921 is a prime.

It is not a weakly prime, because it can be changed into another prime (57149290130957) 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, 28574645065476 + 28574645065477.

It is an arithmetic number, because the mean of its divisors is an integer number (28574645065477).

Almost surely, 257149290130953 is an apocalyptic number.

It is an amenable number.

57149290130953 is a deficient number, since it is larger than the sum of its proper divisors (1).

57149290130953 is an equidigital number, since it uses as much as digits as its factorization.

57149290130953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9185400, while the sum is 58.

The spelling of 57149290130953 in words is "fifty-seven trillion, one hundred forty-nine billion, two hundred ninety million, one hundred thirty thousand, nine hundred fifty-three".