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823978524029 is a prime number
BaseRepresentation
bin10111111110110001111…
…00100111110101111101
32220202211110221222012012
423333120330213311331
5102000002000232104
61430310331221005
7113346645615233
oct13773074476575
92822743858165
10823978524029
112984a1439801
121138388a7765
135c91599682b
142bc48bb0953
151667848ed6e
hexbfd8f27d7d

823978524029 has 2 divisors, whose sum is σ = 823978524030. Its totient is φ = 823978524028.

The previous prime is 823978523981. The next prime is 823978524097. The reversal of 823978524029 is 920425879328.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 572787107929 + 251191416100 = 756827^2 + 501190^2 .

It is a cyclic number.

It is not a de Polignac number, because 823978524029 - 28 = 823978523773 is a prime.

It is a super-2 number, since 2×8239785240292 (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 (823978524329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411989262014 + 411989262015.

It is an arithmetic number, because the mean of its divisors is an integer number (411989262015).

Almost surely, 2823978524029 is an apocalyptic number.

It is an amenable number.

823978524029 is a deficient number, since it is larger than the sum of its proper divisors (1).

823978524029 is an equidigital number, since it uses as much as digits as its factorization.

823978524029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17418240, while the sum is 59.

The spelling of 823978524029 in words is "eight hundred twenty-three billion, nine hundred seventy-eight million, five hundred twenty-four thousand, twenty-nine".