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2085417941 = 19211095209
BaseRepresentation
bin111110001001100…
…1111001111010101
312101100002012121112
41330103033033111
513232331333231
6542533424405
7102451521455
oct17423171725
95340065545
102085417941
11980189402
124a249b105
13273083819
1415ad71d65
15c313692b
hex7c4cf3d5

2085417941 has 12 divisors (see below), whose sum is σ = 2203361100. Its totient is φ = 1973498688.

The previous prime is 2085417907. The next prime is 2085417959. The reversal of 2085417941 is 1497145802.

It can be written as a sum of positive squares in 2 ways, for example, as 1031052100 + 1054365841 = 32110^2 + 32471^2 .

It is a de Polignac number, because none of the positive numbers 2k-2085417941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085417991) 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 in 11 ways as a sum of consecutive naturals, for example, 397745 + ... + 402953.

It is an arithmetic number, because the mean of its divisors is an integer number (183613425).

Almost surely, 22085417941 is an apocalyptic number.

It is an amenable number.

2085417941 is a deficient number, since it is larger than the sum of its proper divisors (117943159).

2085417941 is a wasteful number, since it uses less digits than its factorization.

2085417941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 2085417941 is about 45666.3764820464. The cubic root of 2085417941 is about 1277.6082331901.

The spelling of 2085417941 in words is "two billion, eighty-five million, four hundred seventeen thousand, nine hundred forty-one".

Divisors: 1 19 361 1109 5209 21071 98971 400349 1880449 5776781 109758839 2085417941