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1829214010 = 251314070877
BaseRepresentation
bin110110100000111…
…1001011100111010
311201110222200220001
41231001321130322
512221234322020
6501302223214
763221030311
oct15501713472
94643880801
101829214010
118595a8618
12430724b0a
13231c7b370
14134d1d278
15aa8c950a
hex6d07973a

1829214010 has 16 divisors (see below), whose sum is σ = 3545861256. Its totient is φ = 675402048.

The previous prime is 1829213983. The next prime is 1829214017. The reversal of 1829214010 is 104129281.

It can be written as a sum of positive squares in 4 ways, for example, as 1669621321 + 159592689 = 40861^2 + 12633^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1829214010.

It is not an unprimeable number, because it can be changed into a prime (1829214017) 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 7 ways as a sum of consecutive naturals, for example, 7035309 + ... + 7035568.

Almost surely, 21829214010 is an apocalyptic number.

1829214010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1829214010 is a deficient number, since it is larger than the sum of its proper divisors (1716647246).

1829214010 is a wasteful number, since it uses less digits than its factorization.

1829214010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14070897.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1829214010 is about 42769.3115446110. The cubic root of 1829214010 is about 1222.9860585901.

The spelling of 1829214010 in words is "one billion, eight hundred twenty-nine million, two hundred fourteen thousand, ten".

Divisors: 1 2 5 10 13 26 65 130 14070877 28141754 70354385 140708770 182921401 365842802 914607005 1829214010