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20411411120 = 2453710366949
BaseRepresentation
bin10011000000100111…
…010110101010110000
31221200111200010012122
4103000213112222300
5313300310123440
613213223213412
71321546063142
oct230047265260
957614603178
1020411411120
118724789311
123b578a7268
131c039b3179
14db8bbac92
157e6e357b5
hex4c09d6ab0

20411411120 has 80 divisors (see below), whose sum is σ = 49213070400. Its totient is φ = 7866657792.

The previous prime is 20411411101. The next prime is 20411411129. The reversal of 20411411120 is 2111411402.

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

It is not an unprimeable number, because it can be changed into a prime (20411411129) 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, 271406 + ... + 338354.

It is an arithmetic number, because the mean of its divisors is an integer number (615163380).

Almost surely, 220411411120 is an apocalyptic number.

20411411120 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 20411411120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24606535200).

20411411120 is an abundant number, since it is smaller than the sum of its proper divisors (28801659280).

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

20411411120 is a wasteful number, since it uses less digits than its factorization.

20411411120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67102 (or 67096 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20411411120 its reverse (2111411402), we get a palindrome (22522822522).

The spelling of 20411411120 in words is "twenty billion, four hundred eleven million, four hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 103 148 185 206 296 370 412 515 592 740 824 1030 1480 1648 2060 2960 3811 4120 7622 8240 15244 19055 30488 38110 60976 66949 76220 133898 152440 267796 304880 334745 535592 669490 1071184 1338980 2477113 2677960 4954226 5355920 6895747 9908452 12385565 13791494 19816904 24771130 27582988 34478735 39633808 49542260 55165976 68957470 99084520 110331952 137914940 198169040 255142639 275829880 510285278 551659760 1020570556 1275713195 2041141112 2551426390 4082282224 5102852780 10205705560 20411411120