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505200379693 is a prime number
BaseRepresentation
bin1110101101000000100…
…10100000011100101101
31210022000021122101001211
413112200102200130231
531234122244122233
61024030313234421
751333223242232
oct7264022403455
91708007571054
10505200379693
11185288497759
1281ab2702a11
1338842667719
141a647b65789
15d21c46b5cd
hex75a04a072d

505200379693 has 2 divisors, whose sum is σ = 505200379694. Its totient is φ = 505200379692.

The previous prime is 505200379667. The next prime is 505200379699. The reversal of 505200379693 is 396973002505.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 485756029444 + 19444350249 = 696962^2 + 139443^2 .

It is a cyclic number.

It is not a de Polignac number, because 505200379693 - 29 = 505200379181 is a prime.

It is a super-3 number, since 3×5052003796933 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (505200379699) 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, 252600189846 + 252600189847.

It is an arithmetic number, because the mean of its divisors is an integer number (252600189847).

Almost surely, 2505200379693 is an apocalyptic number.

It is an amenable number.

505200379693 is a deficient number, since it is larger than the sum of its proper divisors (1).

505200379693 is an equidigital number, since it uses as much as digits as its factorization.

505200379693 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1530900, while the sum is 49.

The spelling of 505200379693 in words is "five hundred five billion, two hundred million, three hundred seventy-nine thousand, six hundred ninety-three".