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829781893873 is a prime number
BaseRepresentation
bin11000001001100101101…
…10101110001011110001
32221022210221000201000001
430010302312232023301
5102043343131100443
61433110241430001
7113643524502652
oct14046266561361
92838727021001
10829781893873
1129a9aa279429
1211499833b301
136032c0b809a
142c239837529
15168b7bd6d4d
hexc132dae2f1

829781893873 has 2 divisors, whose sum is σ = 829781893874. Its totient is φ = 829781893872.

The previous prime is 829781893849. The next prime is 829781893949. The reversal of 829781893873 is 378398187928.

829781893873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 661339779984 + 168442113889 = 813228^2 + 410417^2 .

It is a cyclic number.

It is not a de Polignac number, because 829781893873 - 25 = 829781893841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 829781893796 and 829781893805.

It is not a weakly prime, because it can be changed into another prime (829781893823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414890946936 + 414890946937.

It is an arithmetic number, because the mean of its divisors is an integer number (414890946937).

Almost surely, 2829781893873 is an apocalyptic number.

It is an amenable number.

829781893873 is a deficient number, since it is larger than the sum of its proper divisors (1).

829781893873 is an equidigital number, since it uses as much as digits as its factorization.

829781893873 is an evil number, because the sum of its binary digits is even.

The product of its digits is 292626432, while the sum is 73.

The spelling of 829781893873 in words is "eight hundred twenty-nine billion, seven hundred eighty-one million, eight hundred ninety-three thousand, eight hundred seventy-three".