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91106948033 is a prime number
BaseRepresentation
bin101010011011001100…
…1011011001111000001
322201011101210111100122
41110312121123033001
52443041334314113
6105504242030025
76403500165203
oct1246631331701
9281141714318
1091106948033
1135702551582
12157a7648315
13878c26660a
1445a3d28773
152583636408
hex153665b3c1

91106948033 has 2 divisors, whose sum is σ = 91106948034. Its totient is φ = 91106948032.

The previous prime is 91106948027. The next prime is 91106948047. The reversal of 91106948033 is 33084960119.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53258023729 + 37848924304 = 230777^2 + 194548^2 .

It is a cyclic number.

It is not a de Polignac number, because 91106948033 - 28 = 91106947777 is a prime.

It is not a weakly prime, because it can be changed into another prime (91106948633) 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, 45553474016 + 45553474017.

It is an arithmetic number, because the mean of its divisors is an integer number (45553474017).

Almost surely, 291106948033 is an apocalyptic number.

It is an amenable number.

91106948033 is a deficient number, since it is larger than the sum of its proper divisors (1).

91106948033 is an equidigital number, since it uses as much as digits as its factorization.

91106948033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 91106948033 in words is "ninety-one billion, one hundred six million, nine hundred forty-eight thousand, thirty-three".