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1516075706141 is a prime number
BaseRepresentation
bin10110000011111101001…
…001110110011100011101
312100221020220220121211022
4112003331021312130131
5144314410340044031
63120250415533525
7214350524606333
oct26037511663435
95327226817738
101516075706141
11534a67237347
122059aa82a2a5
13acc71a88669
14535426a7b53
152968384697b
hex160fd27671d

1516075706141 has 2 divisors, whose sum is σ = 1516075706142. Its totient is φ = 1516075706140.

The previous prime is 1516075706107. The next prime is 1516075706149. The reversal of 1516075706141 is 1416075706151.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1379579448025 + 136496258116 = 1174555^2 + 369454^2 .

It is a cyclic number.

It is not a de Polignac number, because 1516075706141 - 214 = 1516075689757 is a prime.

It is a super-2 number, since 2×15160757061412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1516075706092 and 1516075706101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1516075706149) 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, 758037853070 + 758037853071.

It is an arithmetic number, because the mean of its divisors is an integer number (758037853071).

Almost surely, 21516075706141 is an apocalyptic number.

It is an amenable number.

1516075706141 is a deficient number, since it is larger than the sum of its proper divisors (1).

1516075706141 is an equidigital number, since it uses as much as digits as its factorization.

1516075706141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176400, while the sum is 44.

The spelling of 1516075706141 in words is "one trillion, five hundred sixteen billion, seventy-five million, seven hundred six thousand, one hundred forty-one".