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55727596013 is a prime number
BaseRepresentation
bin110011111001100111…
…111010000111101101
312022211202022012021112
4303321213322013231
51403112231033023
641333443441405
74011660515255
oct637147720755
9168752265245
1055727596013
11216a7858781
12a973086265
1353415806ab
1429a92b0965
1516b2620478
hexcf99fa1ed

55727596013 has 2 divisors, whose sum is σ = 55727596014. Its totient is φ = 55727596012.

The previous prime is 55727596009. The next prime is 55727596021. The reversal of 55727596013 is 31069572755.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 49681289449 + 6046306564 = 222893^2 + 77758^2 .

It is a cyclic number.

It is not a de Polignac number, because 55727596013 - 22 = 55727596009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (55727590013) 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, 27863798006 + 27863798007.

It is an arithmetic number, because the mean of its divisors is an integer number (27863798007).

Almost surely, 255727596013 is an apocalyptic number.

It is an amenable number.

55727596013 is a deficient number, since it is larger than the sum of its proper divisors (1).

55727596013 is an equidigital number, since it uses as much as digits as its factorization.

55727596013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1984500, while the sum is 50.

The spelling of 55727596013 in words is "fifty-five billion, seven hundred twenty-seven million, five hundred ninety-six thousand, thirteen".