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35126400462113 is a prime number
BaseRepresentation
bin1111111110010100000001…
…00111110010110100100001
311121101001101020120122211002
413333022000213302310201
514101002332004241423
6202412502352201345
710253540643350222
oct777120047626441
9147331336518732
1035126400462113
1110213028354644
123b33894539255
13167a53672a35c
148961ac12d249
1540dab933e228
hex1ff2809f2d21

35126400462113 has 2 divisors, whose sum is σ = 35126400462114. Its totient is φ = 35126400462112.

The previous prime is 35126400462071. The next prime is 35126400462119. The reversal of 35126400462113 is 31126400462153.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20406839516449 + 14719560945664 = 4517393^2 + 3836608^2 .

It is a cyclic number.

It is not a de Polignac number, because 35126400462113 - 28 = 35126400461857 is a prime.

It is not a weakly prime, because it can be changed into another prime (35126400462119) 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, 17563200231056 + 17563200231057.

It is an arithmetic number, because the mean of its divisors is an integer number (17563200231057).

Almost surely, 235126400462113 is an apocalyptic number.

It is an amenable number.

35126400462113 is a deficient number, since it is larger than the sum of its proper divisors (1).

35126400462113 is an equidigital number, since it uses as much as digits as its factorization.

35126400462113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 35126400462113 in words is "thirty-five trillion, one hundred twenty-six billion, four hundred million, four hundred sixty-two thousand, one hundred thirteen".