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64124418461 is a prime number
BaseRepresentation
bin111011101110000111…
…001111100110011101
320010111221101222020112
4323232013033212131
52022311322342321
645243000455405
74430030364215
oct735607174635
9203457358215
1064124418461
1125216620764
121051717a565
13607c09199c
143164553245
151a048a2a5b
hexeee1cf99d

64124418461 has 2 divisors, whose sum is σ = 64124418462. Its totient is φ = 64124418460.

The previous prime is 64124418431. The next prime is 64124418469. The reversal of 64124418461 is 16481442146.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64115304100 + 9114361 = 253210^2 + 3019^2 .

It is a cyclic number.

It is not a de Polignac number, because 64124418461 - 210 = 64124417437 is a prime.

It is a super-2 number, since 2×641244184612 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (64124418469) 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, 32062209230 + 32062209231.

It is an arithmetic number, because the mean of its divisors is an integer number (32062209231).

Almost surely, 264124418461 is an apocalyptic number.

It is an amenable number.

64124418461 is a deficient number, since it is larger than the sum of its proper divisors (1).

64124418461 is an equidigital number, since it uses as much as digits as its factorization.

64124418461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 147456, while the sum is 41.

The spelling of 64124418461 in words is "sixty-four billion, one hundred twenty-four million, four hundred eighteen thousand, four hundred sixty-one".