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107007713747489 is a prime number
BaseRepresentation
bin11000010101001010101100…
…110001000010001000100001
3112000212211121120001110221102
4120111022230301002020201
5103011203244204404424
61015330355352404145
731353023621161262
oct3025125461021041
9460784546043842
10107007713747489
11311067977a8145
121000298a9a6655
134792a268bb0a9
141c5d2b56ba969
15c587b22c37ae
hex6152acc42221

107007713747489 has 2 divisors, whose sum is σ = 107007713747490. Its totient is φ = 107007713747488.

The previous prime is 107007713747411. The next prime is 107007713747531. The reversal of 107007713747489 is 984747317700701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101482111311889 + 5525602435600 = 10073833^2 + 2350660^2 .

It is an emirp because it is prime and its reverse (984747317700701) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107007713747489 is a prime.

It is a super-2 number, since 2×1070077137474892 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107007713747089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53503856873744 + 53503856873745.

It is an arithmetic number, because the mean of its divisors is an integer number (53503856873745).

Almost surely, 2107007713747489 is an apocalyptic number.

It is an amenable number.

107007713747489 is a deficient number, since it is larger than the sum of its proper divisors (1).

107007713747489 is an equidigital number, since it uses as much as digits as its factorization.

107007713747489 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58084992, while the sum is 65.

The spelling of 107007713747489 in words is "one hundred seven trillion, seven billion, seven hundred thirteen million, seven hundred forty-seven thousand, four hundred eighty-nine".