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1628083141 = 3189590099
BaseRepresentation
bin110000100001010…
…1001001111000101
311012110112012012121
41201002221033011
511313242130031
6425315245541
755226323036
oct14102511705
94173465177
101628083141
11766012a63
123952a98b1
131cc3b9409
14116324a8d
1597dea011
hex610a93c5

1628083141 has 8 divisors (see below), whose sum is σ = 1699488000. Its totient is φ = 1557858720.

The previous prime is 1628083123. The next prime is 1628083169. The reversal of 1628083141 is 1413808261.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1628083141 - 219 = 1627558853 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1628083097 and 1628083106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628083181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 292291 + ... + 297808.

It is an arithmetic number, because the mean of its divisors is an integer number (212436000).

Almost surely, 21628083141 is an apocalyptic number.

It is an amenable number.

1628083141 is a deficient number, since it is larger than the sum of its proper divisors (71404859).

1628083141 is an equidigital number, since it uses as much as digits as its factorization.

1628083141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590219.

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 1628083141 is about 40349.5122771019. The cubic root of 1628083141 is about 1176.4104122031.

The spelling of 1628083141 in words is "one billion, six hundred twenty-eight million, eighty-three thousand, one hundred forty-one".

Divisors: 1 31 89 2759 590099 18293069 52518811 1628083141