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21064680037 is a prime number
BaseRepresentation
bin10011100111100011…
…011000001001100101
32000101000220121200201
4103213203120021211
5321120024230122
613402121110501
71344000553222
oct234743301145
960330817621
1021064680037
118a2a50a985
1240ba628431
131ca914001b
14103b86c949
15834476a27
hex4e78d8265

21064680037 has 2 divisors, whose sum is σ = 21064680038. Its totient is φ = 21064680036.

The previous prime is 21064679983. The next prime is 21064680047. The reversal of 21064680037 is 73008646012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20910895236 + 153784801 = 144606^2 + 12401^2 .

It is a cyclic number.

It is not a de Polignac number, because 21064680037 - 211 = 21064677989 is a prime.

It is a super-2 number, since 2×210646800372 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21064679978 and 21064680005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21064680047) 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, 10532340018 + 10532340019.

It is an arithmetic number, because the mean of its divisors is an integer number (10532340019).

Almost surely, 221064680037 is an apocalyptic number.

It is an amenable number.

21064680037 is a deficient number, since it is larger than the sum of its proper divisors (1).

21064680037 is an equidigital number, since it uses as much as digits as its factorization.

21064680037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 21064680037 in words is "twenty-one billion, sixty-four million, six hundred eighty thousand, thirty-seven".