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2042135544 = 233414994159
BaseRepresentation
bin111100110111000…
…1000001111111000
312021022122020022210
41321232020033320
513140241314134
6534350015120
7101414602641
oct17156101770
95238566283
102042135544
11958806729
1248baa74a0
1326710ac37
141553066c8
15be4372e9
hex79b883f8

2042135544 has 64 divisors (see below), whose sum is σ = 5241600000. Its totient is φ = 662618880.

The previous prime is 2042135531. The next prime is 2042135573. The reversal of 2042135544 is 4455312402.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 488937 + ... + 493095.

It is an arithmetic number, because the mean of its divisors is an integer number (81900000).

Almost surely, 22042135544 is an apocalyptic number.

2042135544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042135544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620800000).

2042135544 is an abundant number, since it is smaller than the sum of its proper divisors (3199464456).

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

2042135544 is a wasteful number, since it uses less digits than its factorization.

2042135544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2042135544 is about 45189.9938481961. The cubic root of 2042135544 is about 1268.7075416434.

Adding to 2042135544 its reverse (4455312402), we get a palindrome (6497447946).

The spelling of 2042135544 in words is "two billion, forty-two million, one hundred thirty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 499 984 998 1497 1996 2994 3992 4159 5988 8318 11976 12477 16636 20459 24954 33272 40918 49908 61377 81836 99816 122754 163672 170519 245508 341038 491016 511557 682076 1023114 1364152 2046228 2075341 4092456 4150682 6226023 8301364 12452046 16602728 24904092 49808184 85088981 170177962 255266943 340355924 510533886 680711848 1021067772 2042135544