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382607662601 is a prime number
BaseRepresentation
bin1011001000101010011…
…00011001111000001001
31100120120120211002100102
411210111030121320021
522232040030200401
6451433442015145
736433242320663
oct5442514317011
91316516732312
10382607662601
1113829906193a
126219a6474b5
132a10628a338
1414738355533
159e44a7356b
hex5915319e09

382607662601 has 2 divisors, whose sum is σ = 382607662602. Its totient is φ = 382607662600.

The previous prime is 382607662573. The next prime is 382607662627. The reversal of 382607662601 is 106266706283.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275352067600 + 107255595001 = 524740^2 + 327499^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-382607662601 is a prime.

It is not a weakly prime, because it can be changed into another prime (382607662001) 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, 191303831300 + 191303831301.

It is an arithmetic number, because the mean of its divisors is an integer number (191303831301).

Almost surely, 2382607662601 is an apocalyptic number.

It is an amenable number.

382607662601 is a deficient number, since it is larger than the sum of its proper divisors (1).

382607662601 is an equidigital number, since it uses as much as digits as its factorization.

382607662601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 47.

The spelling of 382607662601 in words is "three hundred eighty-two billion, six hundred seven million, six hundred sixty-two thousand, six hundred one".