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2042135543 = 7292794391
BaseRepresentation
bin111100110111000…
…1000001111110111
312021022122020022202
41321232020033313
513140241314133
6534350015115
7101414602640
oct17156101767
95238566282
102042135543
11958806728
1248baa749b
1326710ac36
141553066c7
15be4372e8
hex79b883f7

2042135543 has 24 divisors (see below), whose sum is σ = 2448276480. Its totient is φ = 1668270240.

The previous prime is 2042135531. The next prime is 2042135573. The reversal of 2042135543 is 3455312402.

It is a happy number.

It is not a de Polignac number, because 2042135543 - 26 = 2042135479 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042135573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462878 + ... + 467268.

It is an arithmetic number, because the mean of its divisors is an integer number (102011520).

Almost surely, 22042135543 is an apocalyptic number.

2042135543 is a deficient number, since it is larger than the sum of its proper divisors (406140937).

2042135543 is an equidigital number, since it uses as much as digits as its factorization.

2042135543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2042135543 is about 45189.9938371317. The cubic root of 2042135543 is about 1268.7075414363.

Adding to 2042135543 its reverse (3455312402), we get a palindrome (5497447945).

The spelling of 2042135543 in words is "two billion, forty-two million, one hundred thirty-five thousand, five hundred forty-three".

Divisors: 1 7 29 79 203 553 841 2291 4391 5887 16037 30737 66439 127339 346889 465073 891373 2428223 3692831 10059781 25849817 70418467 291733649 2042135543