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830993206961 is a prime number
BaseRepresentation
bin11000001011110110000…
…11100000111010110001
32221102221100022210011202
430011323003200322301
5102103333230110321
61433430352220545
7114015533500001
oct14057303407261
92842840283152
10830993206961
112a0471001925
12115075b3a755
13604930409a8
142c312670001
151693920970b
hexc17b0e0eb1

830993206961 has 2 divisors, whose sum is σ = 830993206962. Its totient is φ = 830993206960.

The previous prime is 830993206937. The next prime is 830993207021. The reversal of 830993206961 is 169602399038.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 471736822561 + 359256384400 = 686831^2 + 599380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-830993206961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 830993206897 and 830993206906.

It is not a weakly prime, because it can be changed into another prime (830993206861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 415496603480 + 415496603481.

It is an arithmetic number, because the mean of its divisors is an integer number (415496603481).

Almost surely, 2830993206961 is an apocalyptic number.

It is an amenable number.

830993206961 is a deficient number, since it is larger than the sum of its proper divisors (1).

830993206961 is an equidigital number, since it uses as much as digits as its factorization.

830993206961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3779136, while the sum is 56.

The spelling of 830993206961 in words is "eight hundred thirty billion, nine hundred ninety-three million, two hundred six thousand, nine hundred sixty-one".