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985956408817 is a prime number
BaseRepresentation
bin11100101100011111001…
…01001101110111110001
310111020220222221002001021
432112033211031313301
5112123214320040232
62032535255335441
7131142630124342
oct16261745156761
93436828832037
10985956408817
11350161763a96
1213b102981581
1371c8a936683
1435a132640c9
151a9a88c2397
hexe58f94ddf1

985956408817 has 2 divisors, whose sum is σ = 985956408818. Its totient is φ = 985956408816.

The previous prime is 985956408779. The next prime is 985956408881. The reversal of 985956408817 is 718804659589.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 784430833761 + 201525575056 = 885681^2 + 448916^2 .

It is a cyclic number.

It is not a de Polignac number, because 985956408817 - 223 = 985948020209 is a prime.

It is a super-2 number, since 2×9859564088172 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (985956408517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 492978204408 + 492978204409.

It is an arithmetic number, because the mean of its divisors is an integer number (492978204409).

Almost surely, 2985956408817 is an apocalyptic number.

It is an amenable number.

985956408817 is a deficient number, since it is larger than the sum of its proper divisors (1).

985956408817 is an equidigital number, since it uses as much as digits as its factorization.

985956408817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 174182400, while the sum is 70.

The spelling of 985956408817 in words is "nine hundred eighty-five billion, nine hundred fifty-six million, four hundred eight thousand, eight hundred seventeen".