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382463989601 is a prime number
BaseRepresentation
bin1011001000011001010…
…00010101011101100001
31100120012120110202001012
411210030220111131201
522231241240131401
6451411310350305
736426546162161
oct5441450253541
91316176422035
10382463989601
11138224a51221
126215a4bb395
132a0b2595225
14147232365a1
159e371438bb
hex590ca15761

382463989601 has 2 divisors, whose sum is σ = 382463989602. Its totient is φ = 382463989600.

The previous prime is 382463989591. The next prime is 382463989627. The reversal of 382463989601 is 106989364283.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 274895733025 + 107568256576 = 524305^2 + 327976^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-382463989601 is a prime.

It is a super-2 number, since 2×3824639896012 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (382463989681) 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, 191231994800 + 191231994801.

It is an arithmetic number, because the mean of its divisors is an integer number (191231994801).

Almost surely, 2382463989601 is an apocalyptic number.

It is an amenable number.

382463989601 is a deficient number, since it is larger than the sum of its proper divisors (1).

382463989601 is an equidigital number, since it uses as much as digits as its factorization.

382463989601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13436928, while the sum is 59.

The spelling of 382463989601 in words is "three hundred eighty-two billion, four hundred sixty-three million, nine hundred eighty-nine thousand, six hundred one".