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20117102520760 = 23574491429111977
BaseRepresentation
bin1001001001011111000001…
…01111111110100110111000
32122020011202110111220212021
410210233200233332212320
510114044311221131020
6110441400323324224
74144261361022640
oct444574057764670
978204673456767
1020117102520760
116456684a15113
12230a9b4b20674
13b2c05b10083b
144d795c847520
1524d45a7991aa
hex124be0bfe9b8

20117102520760 has 128 divisors (see below), whose sum is σ = 51881646960000. Its totient is φ = 6877053517824.

The previous prime is 20117102520743. The next prime is 20117102520761. The reversal of 20117102520760 is 6702520171102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20117102520761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179597892 + ... + 179709868.

It is an arithmetic number, because the mean of its divisors is an integer number (405325366875).

Almost surely, 220117102520760 is an apocalyptic number.

20117102520760 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 20117102520760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25940823480000).

20117102520760 is an abundant number, since it is smaller than the sum of its proper divisors (31764544439240).

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

20117102520760 is a wasteful number, since it uses less digits than its factorization.

20117102520760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113873 (or 113869 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

Adding to 20117102520760 its reverse (6702520171102), we get a palindrome (26819622691862).

The spelling of 20117102520760 in words is "twenty trillion, one hundred seventeen billion, one hundred two million, five hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 449 898 1429 1796 2245 2858 3143 3592 4490 5716 6286 7145 8980 10003 11432 12572 14290 15715 17960 20006 25144 28580 31430 40012 50015 57160 62860 80024 100030 111977 125720 200060 223954 400120 447908 559885 641621 783839 895816 1119770 1283242 1567678 2239540 2566484 3135356 3208105 3919195 4479080 4491347 5132968 6270712 6416210 7838390 8982694 12832420 15676780 17965388 22456735 25664840 31353560 35930776 44913470 50277673 89826940 100555346 160015133 179653880 201110692 251388365 320030266 351943711 402221384 502776730 640060532 703887422 800075665 1005553460 1120105931 1280121064 1407774844 1600151330 1759718555 2011106920 2240211862 2815549688 3200302660 3519437110 4480423724 5600529655 6400605320 7038874220 8960847448 11201059310 14077748440 22402118620 44804237240 71846794717 143693589434 287387178868 359233973585 502927563019 574774357736 718467947170 1005855126038 1436935894340 2011710252076 2514637815095 2873871788680 4023420504152 5029275630190 10058551260380 20117102520760