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83005345284 = 2236917112107
BaseRepresentation
bin100110101001110000…
…0010000111000000100
321221020210012102200120
41031103200100320010
52324443332022114
6102044312341540
75665643536131
oct1152340207004
9257223172616
1083005345284
1132225398514
12141063a48b0
137a9a96b334
144035d73588
15225c26b5a9
hex1353810e04

83005345284 has 12 divisors (see below), whose sum is σ = 193679139024. Its totient is φ = 27668448424.

The previous prime is 83005345253. The next prime is 83005345289. The reversal of 83005345284 is 48254350038.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×830053452842 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83005345289) 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 3 ways as a sum of consecutive naturals, for example, 3458556042 + ... + 3458556065.

It is an arithmetic number, because the mean of its divisors is an integer number (16139928252).

Almost surely, 283005345284 is an apocalyptic number.

It is an amenable number.

83005345284 is an abundant number, since it is smaller than the sum of its proper divisors (110673793740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83005345284 is a wasteful number, since it uses less digits than its factorization.

83005345284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917112114 (or 6917112112 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 83005345284 in words is "eighty-three billion, five million, three hundred forty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 12 6917112107 13834224214 20751336321 27668448428 41502672642 83005345284