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8218231828769 is a prime number
BaseRepresentation
bin111011110010111010011…
…0010011111000100100001
31002002122200201001221200002
41313211310302133010201
52034121414322010034
625251223101305345
71505514305646044
oct167456462370441
932078621057602
108218231828769
112689372689216
12b088b9265255
13477c8c1933a1
14205a9bc96c5b
15e3b95cd7e7e
hex77974c9f121

8218231828769 has 2 divisors, whose sum is σ = 8218231828770. Its totient is φ = 8218231828768.

The previous prime is 8218231828733. The next prime is 8218231828811. The reversal of 8218231828769 is 9678281328128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6007954938769 + 2210276890000 = 2451113^2 + 1486700^2 .

It is a cyclic number.

It is not a de Polignac number, because 8218231828769 - 216 = 8218231763233 is a prime.

It is a super-2 number, since 2×82182318287692 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8218231848769) 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, 4109115914384 + 4109115914385.

It is an arithmetic number, because the mean of its divisors is an integer number (4109115914385).

Almost surely, 28218231828769 is an apocalyptic number.

It is an amenable number.

8218231828769 is a deficient number, since it is larger than the sum of its proper divisors (1).

8218231828769 is an equidigital number, since it uses as much as digits as its factorization.

8218231828769 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 37158912, while the sum is 65.

The spelling of 8218231828769 in words is "eight trillion, two hundred eighteen billion, two hundred thirty-one million, eight hundred twenty-eight thousand, seven hundred sixty-nine".