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2059642089 = 321729464197
BaseRepresentation
bin111101011000011…
…1010010011101001
312022112120122210100
41322300322103221
513204232021324
6540213140013
7102016445301
oct17260722351
95275518710
102059642089
1196768364a
1249592a609
1326a92a43b
14157782601
15c0c444c9
hex7ac3a4e9

2059642089 has 24 divisors (see below), whose sum is σ = 3258669960. Its totient is φ = 1247758848.

The previous prime is 2059642069. The next prime is 2059642121. The reversal of 2059642089 is 9802469502.

It can be written as a sum of positive squares in 4 ways, for example, as 776569689 + 1283072400 = 27867^2 + 35820^2 .

It is not a de Polignac number, because 2059642089 - 217 = 2059511017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2059642069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227662 + ... + 236535.

It is an arithmetic number, because the mean of its divisors is an integer number (135777915).

Almost surely, 22059642089 is an apocalyptic number.

2059642089 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2059642089 is a deficient number, since it is larger than the sum of its proper divisors (1199027871).

2059642089 is a wasteful number, since it uses less digits than its factorization.

2059642089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464249 (or 464246 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2059642089 is about 45383.2798396061. The cubic root of 2059642089 is about 1272.3226327232.

The spelling of 2059642089 in words is "two billion, fifty-nine million, six hundred forty-two thousand, eighty-nine".

Divisors: 1 3 9 17 29 51 87 153 261 493 1479 4437 464197 1392591 4177773 7891349 13461713 23674047 40385139 71022141 121155417 228849121 686547363 2059642089