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46734199601 is a prime number
BaseRepresentation
bin101011100001100100…
…110100101100110001
311110121222122022200112
4223201210310230301
51231202423341401
633245220031105
73243055066535
oct534144645461
9143558568615
1046734199601
1118902267961
129083232495
13453a2a305b
142394ad7bc5
151337cea3bb
hexae1934b31

46734199601 has 2 divisors, whose sum is σ = 46734199602. Its totient is φ = 46734199600.

The previous prime is 46734199553. The next prime is 46734199619. The reversal of 46734199601 is 10699143764.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37301128225 + 9433071376 = 193135^2 + 97124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-46734199601 is a prime.

It is a super-2 number, since 2×467341996012 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 46734199601.

It is not a weakly prime, because it can be changed into another prime (46734199201) 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, 23367099800 + 23367099801.

It is an arithmetic number, because the mean of its divisors is an integer number (23367099801).

Almost surely, 246734199601 is an apocalyptic number.

It is an amenable number.

46734199601 is a deficient number, since it is larger than the sum of its proper divisors (1).

46734199601 is an equidigital number, since it uses as much as digits as its factorization.

46734199601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 46734199601 in words is "forty-six billion, seven hundred thirty-four million, one hundred ninety-nine thousand, six hundred one".