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634057502417 is a prime number
BaseRepresentation
bin10010011101000001100…
…01011010111011010001
32020121121120001102210122
421032200301122323101
540342022210034132
61203140524440025
763544351562663
oct11164061327321
92217546042718
10634057502417
112249a1a26209
12a2a746a9015
1347a398281c1
142298d530533
151175ecc9912
hex93a0c5aed1

634057502417 has 2 divisors, whose sum is σ = 634057502418. Its totient is φ = 634057502416.

The previous prime is 634057502399. The next prime is 634057502437. The reversal of 634057502417 is 714205750436.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 415149551041 + 218907951376 = 644321^2 + 467876^2 .

It is a cyclic number.

It is not a de Polignac number, because 634057502417 - 210 = 634057501393 is a prime.

It is not a weakly prime, because it can be changed into another prime (634057502437) 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, 317028751208 + 317028751209.

It is an arithmetic number, because the mean of its divisors is an integer number (317028751209).

Almost surely, 2634057502417 is an apocalyptic number.

It is an amenable number.

634057502417 is a deficient number, since it is larger than the sum of its proper divisors (1).

634057502417 is an equidigital number, since it uses as much as digits as its factorization.

634057502417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 634057502417 in words is "six hundred thirty-four billion, fifty-seven million, five hundred two thousand, four hundred seventeen".