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90419387053 is a prime number
BaseRepresentation
bin101010000110101101…
…0100101101010101101
322122101111000210000011
41110031122211222231
52440134330341203
6105312121133221
76350451052222
oct1241532455255
9278344023004
1090419387053
113538a428866
121563532a211
1386ac990cb8
14453a8ab949
1525430be76d
hex150d6a5aad

90419387053 has 2 divisors, whose sum is σ = 90419387054. Its totient is φ = 90419387052.

The previous prime is 90419387017. The next prime is 90419387059. The reversal of 90419387053 is 35078391409.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87416018244 + 3003368809 = 295662^2 + 54803^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90419387053 is a prime.

It is a super-3 number, since 3×904193870533 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90419386988 and 90419387006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90419387059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45209693526 + 45209693527.

It is an arithmetic number, because the mean of its divisors is an integer number (45209693527).

Almost surely, 290419387053 is an apocalyptic number.

It is an amenable number.

90419387053 is a deficient number, since it is larger than the sum of its proper divisors (1).

90419387053 is an equidigital number, since it uses as much as digits as its factorization.

90419387053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 90419387053 in words is "ninety billion, four hundred nineteen million, three hundred eighty-seven thousand, fifty-three".