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1829301563813 is a prime number
BaseRepresentation
bin11010100111101010110…
…111101011000110100101
320110212202011121211111212
4122213222313223012211
5214432402200020223
63520211453041205
7246106540510553
oct32475267530645
96425664554455
101829301563813
11645891052229
12256645486205
1310366b9c7949
1464778168bd3
15328b71bd278
hex1a9eadeb1a5

1829301563813 has 2 divisors, whose sum is σ = 1829301563814. Its totient is φ = 1829301563812.

The previous prime is 1829301563773. The next prime is 1829301563821. The reversal of 1829301563813 is 3183651039281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 950745903844 + 878555659969 = 975062^2 + 937313^2 .

It is a cyclic number.

It is not a de Polignac number, because 1829301563813 - 210 = 1829301562789 is a prime.

It is a super-2 number, since 2×18293015638132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1829301563893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 914650781906 + 914650781907.

It is an arithmetic number, because the mean of its divisors is an integer number (914650781907).

Almost surely, 21829301563813 is an apocalyptic number.

It is an amenable number.

1829301563813 is a deficient number, since it is larger than the sum of its proper divisors (1).

1829301563813 is an equidigital number, since it uses as much as digits as its factorization.

1829301563813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 1829301563813 in words is "one trillion, eight hundred twenty-nine billion, three hundred one million, five hundred sixty-three thousand, eight hundred thirteen".