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90075083139257 is a prime number
BaseRepresentation
bin10100011110110000111101…
…010101010110100010111001
3102210221002112102020221111212
4110132300331111112202321
543301242232240424012
6515323531045532505
724654465346601366
oct2436607525264271
9383832472227455
1090075083139257
11267786a01a7a67
12a1291a3114135
133b35075582b98
14183592b83d46d
15a630d6367b22
hex51ec3d5568b9

90075083139257 has 2 divisors, whose sum is σ = 90075083139258. Its totient is φ = 90075083139256.

The previous prime is 90075083139143. The next prime is 90075083139331. The reversal of 90075083139257 is 75293138057009.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61804817452816 + 28270265686441 = 7861604^2 + 5316979^2 .

It is a cyclic number.

It is not a de Polignac number, because 90075083139257 - 222 = 90075078944953 is a prime.

It is a super-2 number, since 2×900750831392572 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90075083139196 and 90075083139205.

It is not a weakly prime, because it can be changed into another prime (90075083136257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45037541569628 + 45037541569629.

It is an arithmetic number, because the mean of its divisors is an integer number (45037541569629).

Almost surely, 290075083139257 is an apocalyptic number.

It is an amenable number.

90075083139257 is a deficient number, since it is larger than the sum of its proper divisors (1).

90075083139257 is an equidigital number, since it uses as much as digits as its factorization.

90075083139257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14288400, while the sum is 59.

The spelling of 90075083139257 in words is "ninety trillion, seventy-five billion, eighty-three million, one hundred thirty-nine thousand, two hundred fifty-seven".