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90756414402337 is a prime number
BaseRepresentation
bin10100101000101011011111…
…110101110110111100100001
3102220100020011120020020122001
4110220223133311312330201
543343423114041333322
6521004530551244001
725054635361020445
oct2450533765667441
9386306146206561
1090756414402337
1126a10640a08262
12a21924b679601
133b843a70a8018
14185a8c359a825
15a75bb14bc827
hex528adfd76f21

90756414402337 has 2 divisors, whose sum is σ = 90756414402338. Its totient is φ = 90756414402336.

The previous prime is 90756414402301. The next prime is 90756414402383. The reversal of 90756414402337 is 73320441465709.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90476641110241 + 279773292096 = 9511921^2 + 528936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90756414402337 is a prime.

It is a super-2 number, since 2×907564144023372 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (90756414402397) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45378207201168 + 45378207201169.

It is an arithmetic number, because the mean of its divisors is an integer number (45378207201169).

Almost surely, 290756414402337 is an apocalyptic number.

It is an amenable number.

90756414402337 is a deficient number, since it is larger than the sum of its proper divisors (1).

90756414402337 is an equidigital number, since it uses as much as digits as its factorization.

90756414402337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15240960, while the sum is 55.

The spelling of 90756414402337 in words is "ninety trillion, seven hundred fifty-six billion, four hundred fourteen million, four hundred two thousand, three hundred thirty-seven".