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181680742753 is a prime number
BaseRepresentation
bin1010100100110100000…
…1000010000101100001
3122100221122100222212021
42221031001002011201
510434040232232003
6215244000501441
716061134555516
oct2511501020541
9570848328767
10181680742753
1170061052084
122b26461a881
1314194c0a7a3
148b1710b30d
154ad50562bd
hex2a4d042161

181680742753 has 2 divisors, whose sum is σ = 181680742754. Its totient is φ = 181680742752.

The previous prime is 181680742703. The next prime is 181680742811. The reversal of 181680742753 is 357247086181.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129004525584 + 52676217169 = 359172^2 + 229513^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-181680742753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 181680742753.

It is not a weakly prime, because it can be changed into another prime (181680742703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90840371376 + 90840371377.

It is an arithmetic number, because the mean of its divisors is an integer number (90840371377).

Almost surely, 2181680742753 is an apocalyptic number.

It is an amenable number.

181680742753 is a deficient number, since it is larger than the sum of its proper divisors (1).

181680742753 is an equidigital number, since it uses as much as digits as its factorization.

181680742753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 181680742753 in words is "one hundred eighty-one billion, six hundred eighty million, seven hundred forty-two thousand, seven hundred fifty-three".