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4011043680 = 253257397921
BaseRepresentation
bin1110111100010011…
…1010101101100000
3101100112111010112100
43233010322231200
531203311344210
61502002330400
7201253210620
oct35704725540
911315433470
104011043680
111779147536
1293b359a00
134bbcba337
142a09ca880
151872075c0
hexef13ab60

4011043680 has 144 divisors (see below), whose sum is σ = 15643109664. Its totient is φ = 916807680.

The previous prime is 4011043651. The next prime is 4011043691. The reversal of 4011043680 is 863401104.

4011043680 is a `hidden beast` number, since 40 + 110 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 188881 + ... + 209040.

It is an arithmetic number, because the mean of its divisors is an integer number (108632706).

Almost surely, 24011043680 is an apocalyptic number.

4011043680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4011043680 is an abundant number, since it is smaller than the sum of its proper divisors (11632065984).

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

4011043680 is a wasteful number, since it uses less digits than its factorization.

4011043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397949 (or 397938 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4011043680 is about 63332.8009802188. The cubic root of 4011043680 is about 1588.8606053253.

Adding to 4011043680 its reverse (863401104), we get a palindrome (4874444784).

The spelling of 4011043680 in words is "four billion, eleven million, forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 397921 795842 1193763 1591684 1989605 2387526 2785447 3183368 3581289 3979210 4775052 5570894 5968815 6366736 7162578 7958420 8356341 9550104 11141788 11937630 12733472 13927235 14325156 15916840 16712682 17906445 19100208 22283576 23875260 25069023 27854470 28650312 31833680 33425364 35812890 38200416 41781705 44567152 47750520 50138046 55708940 57300624 63667360 66850728 71625780 83563410 89134304 95501040 100276092 111417880 114601248 125345115 133701456 143251560 167126820 191002080 200552184 222835760 250690230 267402912 286503120 334253640 401104368 445671520 501380460 573006240 668507280 802208736 1002760920 1337014560 2005521840 4011043680