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20118869280 = 2532519770921
BaseRepresentation
bin10010101111001011…
…011001010100100000
31220221010012110020200
4102233023121110200
5312200412304110
613124213105200
71311364365366
oct225713312440
956833173220
1020118869280
1185946392a4
123a95928200
131b881c6ca3
14d8bdc9636
157cb3eb6c0
hex4af2d9520

20118869280 has 144 divisors (see below), whose sum is σ = 69005120184. Its totient is φ = 5337722880.

The previous prime is 20118869263. The next prime is 20118869297. The reversal of 20118869280 is 8296881102.

It is a happy number.

It is a Cunningham number, because it is equal to 1418412-1.

It is an interprime number because it is at equal distance from previous prime (20118869263) and next prime (20118869297).

It can be written as a sum of positive squares in 4 ways, for example, as 19837032336 + 281836944 = 140844^2 + 16788^2 .

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

It is a super-2 number, since 2×201188692802 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248220 + ... + 319140.

Almost surely, 220118869280 is an apocalyptic number.

20118869280 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 20118869280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34502560092).

20118869280 is an abundant number, since it is smaller than the sum of its proper divisors (48886250904).

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

20118869280 is a wasteful number, since it uses less digits than its factorization.

20118869280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71139 (or 71128 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 20118869280 in words is "twenty billion, one hundred eighteen million, eight hundred sixty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 197 240 288 360 394 480 591 720 788 985 1182 1440 1576 1773 1970 2364 2955 3152 3546 3940 4728 5910 6304 7092 7880 8865 9456 11820 14184 15760 17730 18912 23640 28368 31520 35460 47280 56736 70920 70921 94560 141840 141842 212763 283680 283684 354605 425526 567368 638289 709210 851052 1063815 1134736 1276578 1418420 1702104 2127630 2269472 2553156 2836840 3191445 3404208 4255260 5106312 5673680 6382890 6808416 8510520 10212624 11347360 12765780 13971437 17021040 20425248 25531560 27942874 34042080 41914311 51063120 55885748 69857185 83828622 102126240 111771496 125742933 139714370 167657244 209571555 223542992 251485866 279428740 335314488 419143110 447085984 502971732 558857480 628714665 670628976 838286220 1005943464 1117714960 1257429330 1341257952 1676572440 2011886928 2235429920 2514858660 3353144880 4023773856 5029717320 6706289760 10059434640 20118869280