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2012649840 = 243255415167
BaseRepresentation
bin111011111110110…
…1001100101110000
312012021011012112200
41313331221211300
513110214243330
6531414023200
7100606145535
oct16775514560
95167135480
102012649840
119430a7683
12482047b00
13260c86086
1415142cd8c
15bba60a60
hex77f69970

2012649840 has 120 divisors (see below), whose sum is σ = 6772953408. Its totient is φ = 535610880.

The previous prime is 2012649811. The next prime is 2012649869. The reversal of 2012649840 is 489462102.

2012649840 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 649 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2012649811) and next prime (2012649869).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2012649795 and 2012649804.

It is a congruent number.

It is an unprimeable number.

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, 386937 + ... + 392103.

Almost surely, 22012649840 is an apocalyptic number.

2012649840 is a gapful number since it is divisible by the number (20) 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 2012649840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386476704).

2012649840 is an abundant number, since it is smaller than the sum of its proper divisors (4760303568).

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

2012649840 is a wasteful number, since it uses less digits than its factorization.

2012649840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5727 (or 5718 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2012649840 is about 44862.5661325787. The cubic root of 2012649840 is about 1262.5717691449.

The spelling of 2012649840 in words is "two billion, twelve million, six hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 541 720 1082 1623 2164 2705 3246 4328 4869 5167 5410 6492 8115 8656 9738 10334 10820 12984 15501 16230 19476 20668 21640 24345 25835 25968 31002 32460 38952 41336 43280 46503 48690 51670 62004 64920 77505 77904 82672 93006 97380 103340 124008 129840 155010 186012 194760 206680 232515 248016 310020 372024 389520 413360 465030 620040 744048 930060 1240080 1860120 2795347 3720240 5590694 8386041 11181388 13976735 16772082 22362776 25158123 27953470 33544164 41930205 44725552 50316246 55906940 67088328 83860410 100632492 111813880 125790615 134176656 167720820 201264984 223627760 251581230 335441640 402529968 503162460 670883280 1006324920 2012649840