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42077257837 is a prime number
BaseRepresentation
bin100111001100000000…
…000000000001101101
311000121102210011112221
4213030000000001231
51142133234222322
631155141355341
73016466535046
oct471400000155
9130542704487
1042077257837
111693257365a
1281a3708b51
133c77539b04
1420724178cd
15116405a9c7
hex9cc00006d

42077257837 has 2 divisors, whose sum is σ = 42077257838. Its totient is φ = 42077257836.

The previous prime is 42077257687. The next prime is 42077257867. The reversal of 42077257837 is 73875277024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24028410121 + 18048847716 = 155011^2 + 134346^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42077257837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42077257867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21038628918 + 21038628919.

It is an arithmetic number, because the mean of its divisors is an integer number (21038628919).

Almost surely, 242077257837 is an apocalyptic number.

It is an amenable number.

42077257837 is a deficient number, since it is larger than the sum of its proper divisors (1).

42077257837 is an equidigital number, since it uses as much as digits as its factorization.

42077257837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4609920, while the sum is 52.

The spelling of 42077257837 in words is "forty-two billion, seventy-seven million, two hundred fifty-seven thousand, eight hundred thirty-seven".