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85435945381 is a prime number
BaseRepresentation
bin100111110010001100…
…0010001000110100101
322011112011210201012101
41033210120101012211
52344433100223011
6103125420452101
76113116360603
oct1174430210645
9264464721171
1085435945381
1133262400326
12146843aa031
1380973ac147
1441c6aba873
1523508392c1
hex13e46111a5

85435945381 has 2 divisors, whose sum is σ = 85435945382. Its totient is φ = 85435945380.

The previous prime is 85435945379. The next prime is 85435945403. The reversal of 85435945381 is 18354953458.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81448022881 + 3987922500 = 285391^2 + 63150^2 .

It is a cyclic number.

It is not a de Polignac number, because 85435945381 - 21 = 85435945379 is a prime.

It is a super-2 number, since 2×854359453812 (a number of 23 digits) contains 22 as substring.

Together with 85435945379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85435945481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42717972690 + 42717972691.

It is an arithmetic number, because the mean of its divisors is an integer number (42717972691).

Almost surely, 285435945381 is an apocalyptic number.

It is an amenable number.

85435945381 is a deficient number, since it is larger than the sum of its proper divisors (1).

85435945381 is an equidigital number, since it uses as much as digits as its factorization.

85435945381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 10368000, while the sum is 55.

The spelling of 85435945381 in words is "eighty-five billion, four hundred thirty-five million, nine hundred forty-five thousand, three hundred eighty-one".