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67984857601 is a prime number
BaseRepresentation
bin111111010100001101…
…101001101000000001
320111110222111121011221
4333110031221220001
52103213110420401
651122023235041
74624504516633
oct772415515001
9214428447157
1067984857601
1126917752831
1211213ba8a81
136545acabbb
14340d138a53
151b7d75b7a1
hexfd4369a01

67984857601 has 2 divisors, whose sum is σ = 67984857602. Its totient is φ = 67984857600.

The previous prime is 67984857559. The next prime is 67984857659. The reversal of 67984857601 is 10675848976.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59880537025 + 8104320576 = 244705^2 + 90024^2 .

It is a cyclic number.

It is not a de Polignac number, because 67984857601 - 29 = 67984857089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67984857601.

It is not a weakly prime, because it can be changed into another prime (64984857601) 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, 33992428800 + 33992428801.

It is an arithmetic number, because the mean of its divisors is an integer number (33992428801).

Almost surely, 267984857601 is an apocalyptic number.

It is an amenable number.

67984857601 is a deficient number, since it is larger than the sum of its proper divisors (1).

67984857601 is an equidigital number, since it uses as much as digits as its factorization.

67984857601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20321280, while the sum is 61.

It can be divided in two parts, 6798485 and 7601, that added together give a palindrome (6806086).

The spelling of 67984857601 in words is "sixty-seven billion, nine hundred eighty-four million, eight hundred fifty-seven thousand, six hundred one".