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20591780940 = 22325376774567
BaseRepresentation
bin10011001011010111…
…011010010001001100
31222011002001212002100
4103023113122101030
5314132443442230
613243145155100
71326166151523
oct231327322114
958132055070
1020591780940
118807583885
123ba818ba90
131c32186483
14dd4b2d4ba
15807bb3660
hex4cb5da44c

20591780940 has 144 divisors (see below), whose sum is σ = 64258713792. Its totient is φ = 5333672448.

The previous prime is 20591780939. The next prime is 20591780941. The reversal of 20591780940 is 4908719502.

It is an interprime number because it is at equal distance from previous prime (20591780939) and next prime (20591780941).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20591780941) 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 47 ways as a sum of consecutive naturals, for example, 4506537 + ... + 4511103.

It is an arithmetic number, because the mean of its divisors is an integer number (446241068).

Almost surely, 220591780940 is an apocalyptic number.

20591780940 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 20591780940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32129356896).

20591780940 is an abundant number, since it is smaller than the sum of its proper divisors (43666932852).

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

20591780940 is a wasteful number, since it uses less digits than its factorization.

20591780940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296 (or 5291 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 20591780940 in words is "twenty billion, five hundred ninety-one million, seven hundred eighty thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 677 740 1110 1332 1354 1665 2031 2220 2708 3330 3385 4062 4567 6093 6660 6770 8124 9134 10155 12186 13540 13701 18268 20310 22835 24372 25049 27402 30465 40620 41103 45670 50098 54804 60930 68505 75147 82206 91340 100196 121860 125245 137010 150294 164412 168979 205515 225441 250490 274020 300588 337958 375735 411030 450882 500980 506937 675916 751470 822060 844895 901764 1013874 1127205 1502940 1520811 1689790 2027748 2254410 2534685 3041622 3091859 3379580 4508820 5069370 6083244 6183718 7604055 9275577 10138740 12367436 15208110 15459295 18551154 27826731 30416220 30918590 37102308 46377885 55653462 61837180 92755770 111306924 114398783 139133655 185511540 228797566 278267310 343196349 457595132 556534620 571993915 686392698 1029589047 1143987830 1372785396 1715981745 2059178094 2287975660 3431963490 4118356188 5147945235 6863926980 10295890470 20591780940