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2811238980 = 22351121273049
BaseRepresentation
bin1010011110010000…
…0001101001000100
321020220211201220020
42213210001221010
521224134121410
61142542335140
7126444065004
oct24744015104
97226751806
102811238980
111212964500
1266558a4b0
1335a563a24
141c950c004
15116c09a70
hexa7901a44

2811238980 has 144 divisors (see below), whose sum is σ = 8723097600. Its totient is φ = 675924480.

The previous prime is 2811238933. The next prime is 2811238981. The reversal of 2811238980 is 898321182.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2811238981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920496 + ... + 923544.

Almost surely, 22811238980 is an apocalyptic number.

2811238980 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 2811238980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361548800).

2811238980 is an abundant number, since it is smaller than the sum of its proper divisors (5911858620).

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

2811238980 is a wasteful number, since it uses less digits than its factorization.

2811238980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 2811238980 is about 53021.1182454689. The cubic root of 2811238980 is about 1411.3430490727.

The spelling of 2811238980 in words is "two billion, eight hundred eleven million, two hundred thirty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 127 132 165 220 242 254 330 363 381 484 508 605 635 660 726 762 1210 1270 1397 1452 1524 1815 1905 2420 2540 2794 3049 3630 3810 4191 5588 6098 6985 7260 7620 8382 9147 12196 13970 15245 15367 16764 18294 20955 27940 30490 30734 33539 36588 41910 45735 46101 60980 61468 67078 76835 83820 91470 92202 100617 134156 153670 167695 182940 184404 201234 230505 307340 335390 368929 387223 402468 461010 503085 670780 737858 774446 922020 1006170 1106787 1161669 1475716 1548892 1844645 1936115 2012340 2213574 2323338 3689290 3872230 4259453 4427148 4646676 5533935 5808345 7378580 7744460 8518906 11067870 11616690 12778359 17037812 21297265 22135740 23233380 25556718 42594530 46853983 51113436 63891795 85189060 93707966 127783590 140561949 187415932 234269915 255567180 281123898 468539830 562247796 702809745 937079660 1405619490 2811238980