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20109017680 = 245477397237
BaseRepresentation
bin10010101110100101…
…110100001001010000
31220220102122221101121
4102232211310021100
5312140402031210
613123222012024
71311214554463
oct225645641120
956812587347
1020109017680
11858a01a684
123a92577014
131b86157b3b
14d8a9832da
157ca6026da
hex4ae974250

20109017680 has 80 divisors (see below), whose sum is σ = 47819439360. Its totient is φ = 7860727296.

The previous prime is 20109017651. The next prime is 20109017683. The reversal of 20109017680 is 8671090102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20109017683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2775022 + ... + 2782258.

It is an arithmetic number, because the mean of its divisors is an integer number (597742992).

Almost surely, 220109017680 is an apocalyptic number.

20109017680 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 20109017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23909719680).

20109017680 is an abundant number, since it is smaller than the sum of its proper divisors (27710421680).

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

20109017680 is a wasteful number, since it uses less digits than its factorization.

20109017680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The spelling of 20109017680 in words is "twenty billion, one hundred nine million, seventeen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 739 752 940 1478 1880 2956 3695 3760 5912 7237 7390 11824 14474 14780 28948 29560 34733 36185 57896 59120 69466 72370 115792 138932 144740 173665 277864 289480 340139 347330 555728 578960 680278 694660 1360556 1389320 1700695 2721112 2778640 3401390 5348143 5442224 6802780 10696286 13605560 21392572 26740715 27211120 42785144 53481430 85570288 106962860 213925720 251362721 427851440 502725442 1005450884 1256813605 2010901768 2513627210 4021803536 5027254420 10054508840 20109017680