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61686754901 is a prime number
BaseRepresentation
bin111001011100110100…
…010010111001010101
312220020001111211110222
4321130310102321111
52002313302124101
644201041124125
74312440523322
oct713464227125
9186201454428
1061686754901
1124185623a82
12bb56929645
135a81049b05
142db28cbb49
15191088c01b
hexe5cd12e55

61686754901 has 2 divisors, whose sum is σ = 61686754902. Its totient is φ = 61686754900.

The previous prime is 61686754823. The next prime is 61686754933. The reversal of 61686754901 is 10945768616.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54581107876 + 7105647025 = 233626^2 + 84295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-61686754901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61686754001) 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, 30843377450 + 30843377451.

It is an arithmetic number, because the mean of its divisors is an integer number (30843377451).

Almost surely, 261686754901 is an apocalyptic number.

It is an amenable number.

61686754901 is a deficient number, since it is larger than the sum of its proper divisors (1).

61686754901 is an equidigital number, since it uses as much as digits as its factorization.

61686754901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 61686754901 in words is "sixty-one billion, six hundred eighty-six million, seven hundred fifty-four thousand, nine hundred one".