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2832284013 = 313253109967
BaseRepresentation
bin1010100011010001…
…0011100101101101
321022101102221020220
42220310103211231
521300031042023
61145013401553
7130121005536
oct25064234555
97271387226
102832284013
111223828999
126706392b9
13361a21a00
141cc22968d
151189b53e3
hexa8d1396d

2832284013 has 48 divisors (see below), whose sum is σ = 4208941440. Its totient is φ = 1692617472.

The previous prime is 2832283999. The next prime is 2832284027. The reversal of 2832284013 is 3104822382.

2832284013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2832283999) and next prime (2832284027).

It is not a de Polignac number, because 2832284013 - 221 = 2830186861 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832284033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2928456 + ... + 2929422.

It is an arithmetic number, because the mean of its divisors is an integer number (87686280).

Almost surely, 22832284013 is an apocalyptic number.

It is an amenable number.

2832284013 is a deficient number, since it is larger than the sum of its proper divisors (1376657427).

2832284013 is a wasteful number, since it uses less digits than its factorization.

2832284013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2832284013 is about 53219.2071812424. The cubic root of 2832284013 is about 1414.8560851191.

The spelling of 2832284013 in words is "two billion, eight hundred thirty-two million, two hundred eighty-four thousand, thirteen".

Divisors: 1 3 13 39 53 109 159 169 327 507 689 967 1417 2067 2901 4251 5777 8957 12571 17331 18421 26871 37713 51251 55263 75101 105403 153753 163423 225303 316209 490269 666263 976313 1370239 1998789 2928939 4110717 5586359 8661419 16759077 17813107 25984257 53439321 72622667 217868001 944094671 2832284013