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2012054044 = 22711131134447
BaseRepresentation
bin111011111101101…
…1000001000011100
312012020000221021011
41313323120020130
513110041212134
6531353145004
7100601114530
oct16773301034
95166027234
102012054044
1194282aa90
124819bb164
13260b07b30
14151315bc0
15bb994264
hex77ed821c

2012054044 has 96 divisors (see below), whose sum is σ = 4770533376. Its totient is φ = 717050880.

The previous prime is 2012053957. The next prime is 2012054047. The reversal of 2012054044 is 4404502102.

It is a happy number.

It is a super-2 number, since 2×20120540442 = 8096722951953507872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012054047) 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 31 ways as a sum of consecutive naturals, for example, 450229 + ... + 454675.

It is an arithmetic number, because the mean of its divisors is an integer number (49693056).

Almost surely, 22012054044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012054044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2385266688).

2012054044 is an abundant number, since it is smaller than the sum of its proper divisors (2758479332).

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

2012054044 is a wasteful number, since it uses less digits than its factorization.

2012054044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4593 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 2012054044 is about 44855.9254056808. The cubic root of 2012054044 is about 1262.4471723018.

Adding to 2012054044 its reverse (4404502102), we get a palindrome (6416556146).

The spelling of 2012054044 in words is "two billion, twelve million, fifty-four thousand, forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 113 143 154 182 226 286 308 364 452 572 791 1001 1243 1469 1582 2002 2486 2938 3164 4004 4447 4972 5876 8701 8894 10283 16159 17402 17788 20566 31129 32318 34804 41132 48917 57811 62258 64636 97834 113113 115622 124516 195668 226226 231244 342419 404677 452452 502511 635921 684838 809354 1005022 1271842 1369676 1618708 2010044 2543684 3517577 4451447 5527621 6532643 7035154 8902894 11055242 13065286 14070308 17805788 22110484 26130572 38693347 45728501 71859073 77386694 91457002 143718146 154773388 182914004 287436292 503013511 1006027022 2012054044