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61105965096437 is a prime number
BaseRepresentation
bin11011110010011010101110…
…10101111101110111110101
322000100200011202211120200122
431321031113111331313311
531002130004031041222
6333543405352421325
715604521531230612
oct1571152725756765
9260320152746618
1061105965096437
11185199922a4368
126a2a8b40a7845
132813363421611
14111378a125509
1570e78e094a42
hex37935757ddf5

61105965096437 has 2 divisors, whose sum is σ = 61105965096438. Its totient is φ = 61105965096436.

The previous prime is 61105965096391. The next prime is 61105965096523. The reversal of 61105965096437 is 73469056950116.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50070540210916 + 11035424885521 = 7076054^2 + 3321961^2 .

It is a cyclic number.

It is not a de Polignac number, because 61105965096437 - 26 = 61105965096373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 61105965096437.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61105965095437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30552982548218 + 30552982548219.

It is an arithmetic number, because the mean of its divisors is an integer number (30552982548219).

Almost surely, 261105965096437 is an apocalyptic number.

It is an amenable number.

61105965096437 is a deficient number, since it is larger than the sum of its proper divisors (1).

61105965096437 is an equidigital number, since it uses as much as digits as its factorization.

61105965096437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36741600, while the sum is 62.

The spelling of 61105965096437 in words is "sixty-one trillion, one hundred five billion, nine hundred sixty-five million, ninety-six thousand, four hundred thirty-seven".