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802053977017 is a prime number
BaseRepresentation
bin10111010101111100010…
…01000111001110111001
32211200020112001120202111
423222332021013032321
5101120101304231032
61412243012132321
7111642434214136
oct13527611071671
92750215046674
10802053977017
1128a170619067
1210b53a3070a1
135a8306723a7
142ab6907158d
1515ce37b7c47
hexbabe2473b9

802053977017 has 2 divisors, whose sum is σ = 802053977018. Its totient is φ = 802053977016.

The previous prime is 802053976979. The next prime is 802053977063. The reversal of 802053977017 is 710779350208.

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., 575093205801 + 226960771216 = 758349^2 + 476404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-802053977017 is a prime.

It is not a weakly prime, because it can be changed into another prime (802053977077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401026988508 + 401026988509.

It is an arithmetic number, because the mean of its divisors is an integer number (401026988509).

Almost surely, 2802053977017 is an apocalyptic number.

It is an amenable number.

802053977017 is a deficient number, since it is larger than the sum of its proper divisors (1).

802053977017 is an equidigital number, since it uses as much as digits as its factorization.

802053977017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 740880, while the sum is 49.

The spelling of 802053977017 in words is "eight hundred two billion, fifty-three million, nine hundred seventy-seven thousand, seventeen".