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5420105217 = 32652192353
BaseRepresentation
bin1010000110001000…
…00011111000000001
3111222201212212120200
411003010003320001
542100021331332
62253455355413
7251213064012
oct50304037001
914881785520
105420105217
1123315652aa
121073222b69
13684bbc467
14395bbb009
1521ac8c17c
hex143103e01

5420105217 has 12 divisors (see below), whose sum is σ = 7830326244. Its totient is φ = 3612810240.

The previous prime is 5420105209. The next prime is 5420105239. The reversal of 5420105217 is 7125010245.

5420105217 is a `hidden beast` number, since 542 + 0 + 105 + 2 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4345314561 + 1074790656 = 65919^2 + 32784^2 .

It is not a de Polignac number, because 5420105217 - 23 = 5420105209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5420105267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12513 + ... + 104865.

It is an arithmetic number, because the mean of its divisors is an integer number (652527187).

Almost surely, 25420105217 is an apocalyptic number.

It is an amenable number.

5420105217 is a deficient number, since it is larger than the sum of its proper divisors (2410221027).

5420105217 is a wasteful number, since it uses less digits than its factorization.

5420105217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98880 (or 98877 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 5420105217 is about 73621.3638626724. The cubic root of 5420105217 is about 1756.5852800412.

The spelling of 5420105217 in words is "five billion, four hundred twenty million, one hundred five thousand, two hundred seventeen".

Divisors: 1 3 9 6521 19563 58689 92353 277059 831177 602233913 1806701739 5420105217