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10426291984397 is a prime number
BaseRepresentation
bin1001011110111000111101…
…1011100001100000001101
31100220202002012210211001002
42113232033123201200031
52331311021222000042
634101434501430045
72124163143414122
oct227561733414015
940822065724032
1010426291984397
11335a847015443
12120482810b325
135a826c88c783
142808c70b0749
15131329b69132
hex97b8f6e180d

10426291984397 has 2 divisors, whose sum is σ = 10426291984398. Its totient is φ = 10426291984396.

The previous prime is 10426291984393. The next prime is 10426291984399. The reversal of 10426291984397 is 79348919262401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8487497515561 + 1938794468836 = 2913331^2 + 1392406^2 .

It is a cyclic number.

It is not a de Polignac number, because 10426291984397 - 22 = 10426291984393 is a prime.

It is a super-2 number, since 2×104262919843972 (a number of 27 digits) contains 22 as substring.

Together with 10426291984399, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10426291984393) 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, 5213145992198 + 5213145992199.

It is an arithmetic number, because the mean of its divisors is an integer number (5213145992199).

Almost surely, 210426291984397 is an apocalyptic number.

It is an amenable number.

10426291984397 is a deficient number, since it is larger than the sum of its proper divisors (1).

10426291984397 is an equidigital number, since it uses as much as digits as its factorization.

10426291984397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47029248, while the sum is 65.

The spelling of 10426291984397 in words is "ten trillion, four hundred twenty-six billion, two hundred ninety-one million, nine hundred eighty-four thousand, three hundred ninety-seven".