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39991817624497 is a prime number
BaseRepresentation
bin10010001011111010100100…
…00101010101101110110001
312020121011212112100021020221
421011331102011111232301
520220211220302440442
6221015553135333041
711265212344022404
oct1105752205255661
9166534775307227
1039991817624497
1111819486512272
12459a822981181
13194129b32b45b
149c38858d9d3b
1549542b6e9467
hex245f52155bb1

39991817624497 has 2 divisors, whose sum is σ = 39991817624498. Its totient is φ = 39991817624496.

The previous prime is 39991817624461. The next prime is 39991817624501. The reversal of 39991817624497 is 79442671819993.

39991817624497 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39018524883361 + 973292741136 = 6246481^2 + 986556^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-39991817624497 is a prime.

It is a super-2 number, since 2×399918176244972 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (39991817625497) 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, 19995908812248 + 19995908812249.

It is an arithmetic number, because the mean of its divisors is an integer number (19995908812249).

Almost surely, 239991817624497 is an apocalyptic number.

It is an amenable number.

39991817624497 is a deficient number, since it is larger than the sum of its proper divisors (1).

39991817624497 is an equidigital number, since it uses as much as digits as its factorization.

39991817624497 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1481421312, while the sum is 79.

The spelling of 39991817624497 in words is "thirty-nine trillion, nine hundred ninety-one billion, eight hundred seventeen million, six hundred twenty-four thousand, four hundred ninety-seven".