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41764430657 is a prime number
BaseRepresentation
bin100110111001010110…
…101010001101000001
310222210122010220100002
4212321112222031001
51141013143240112
631104124405345
73005650542335
oct467126521501
9128718126302
1041764430657
1116791a289a4
1281169a6855
133c2779a681
142042a657c5
1511468661c2
hex9b95aa341

41764430657 has 2 divisors, whose sum is σ = 41764430658. Its totient is φ = 41764430656.

The previous prime is 41764430623. The next prime is 41764430711. The reversal of 41764430657 is 75603446714.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37542550081 + 4221880576 = 193759^2 + 64976^2 .

It is a cyclic number.

It is not a de Polignac number, because 41764430657 - 26 = 41764430593 is a prime.

It is a super-2 number, since 2×417644306572 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41764432657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20882215328 + 20882215329.

It is an arithmetic number, because the mean of its divisors is an integer number (20882215329).

Almost surely, 241764430657 is an apocalyptic number.

It is an amenable number.

41764430657 is a deficient number, since it is larger than the sum of its proper divisors (1).

41764430657 is an equidigital number, since it uses as much as digits as its factorization.

41764430657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 41764430657 in words is "forty-one billion, seven hundred sixty-four million, four hundred thirty thousand, six hundred fifty-seven".