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90945401257 is a prime number
BaseRepresentation
bin101010010110011000…
…1001011000110101001
322200202010211001211201
41110230301023012221
52442224010320012
6105440231324201
76366466104304
oct1245461130651
9280663731751
1090945401257
113562a343047
1215761520661
138764953ac9
14458a6b5b3b
152574375857
hex152cc4b1a9

90945401257 has 2 divisors, whose sum is σ = 90945401258. Its totient is φ = 90945401256.

The previous prime is 90945401227. The next prime is 90945401293. The reversal of 90945401257 is 75210454909.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86379561216 + 4565840041 = 293904^2 + 67571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90945401257 is a prime.

It is not a weakly prime, because it can be changed into another prime (90945401207) 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, 45472700628 + 45472700629.

It is an arithmetic number, because the mean of its divisors is an integer number (45472700629).

Almost surely, 290945401257 is an apocalyptic number.

It is an amenable number.

90945401257 is a deficient number, since it is larger than the sum of its proper divisors (1).

90945401257 is an equidigital number, since it uses as much as digits as its factorization.

90945401257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 90945401257 in words is "ninety billion, nine hundred forty-five million, four hundred one thousand, two hundred fifty-seven".