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462768801109 is a prime number
BaseRepresentation
bin1101011101111110010…
…10111000010101010101
31122020111011010211211021
412232333022320111111
530040222303113414
6552332033241141
745301561623106
oct6567712702525
91566434124737
10462768801109
11169293a1873a
12758304031b1
133483c8c0b84
14185806783ad
15c087271c24
hex6bbf2b8555

462768801109 has 2 divisors, whose sum is σ = 462768801110. Its totient is φ = 462768801108.

The previous prime is 462768801107. The next prime is 462768801119. The reversal of 462768801109 is 901108867264.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 413991870084 + 48776931025 = 643422^2 + 220855^2 .

It is a cyclic number.

It is not a de Polignac number, because 462768801109 - 21 = 462768801107 is a prime.

It is a super-2 number, since 2×4627688011092 (a number of 24 digits) contains 22 as substring.

Together with 462768801107, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (462768801101) 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, 231384400554 + 231384400555.

It is an arithmetic number, because the mean of its divisors is an integer number (231384400555).

Almost surely, 2462768801109 is an apocalyptic number.

It is an amenable number.

462768801109 is a deficient number, since it is larger than the sum of its proper divisors (1).

462768801109 is an equidigital number, since it uses as much as digits as its factorization.

462768801109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 462768801109 in words is "four hundred sixty-two billion, seven hundred sixty-eight million, eight hundred one thousand, one hundred nine".