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20444413020 = 22354134923813
BaseRepresentation
bin10011000010100101…
…001111110001011100
31221202210202210022020
4103002211033301130
5313332232204040
613220402420140
71322426433453
oct230245176134
957683683266
1020444413020
11874137a109
123b66961650
131c0a799615
14dbd32bb9a
157e9ca3cd0
hex4c294fc5c

20444413020 has 96 divisors (see below), whose sum is σ = 58811054400. Its totient is φ = 5303408640.

The previous prime is 20444413019. The next prime is 20444413021. The reversal of 20444413020 is 2031444402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20444413019) and next prime (20444413021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20444413021) 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 31 ways as a sum of consecutive naturals, for example, 846634 + ... + 870446.

It is an arithmetic number, because the mean of its divisors is an integer number (612615150).

Almost surely, 220444413020 is an apocalyptic number.

20444413020 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 20444413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29405527200).

20444413020 is an abundant number, since it is smaller than the sum of its proper divisors (38366641380).

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

20444413020 is a wasteful number, since it uses less digits than its factorization.

20444413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24215 (or 24213 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20444413020 its reverse (2031444402), we get a palindrome (22475857422).

The spelling of 20444413020 in words is "twenty billion, four hundred forty-four million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 349 410 492 615 698 820 1047 1230 1396 1745 2094 2460 3490 4188 5235 6980 10470 14309 20940 23813 28618 42927 47626 57236 71439 71545 85854 95252 119065 142878 143090 171708 214635 238130 285756 286180 357195 429270 476260 714390 858540 976333 1428780 1952666 2928999 3905332 4881665 5857998 8310737 9763330 11715996 14644995 16621474 19526660 24932211 29289990 33242948 41553685 49864422 58579980 83107370 99728844 124661055 166214740 249322110 340740217 498644220 681480434 1022220651 1362960868 1703701085 2044441302 3407402170 4088882604 5111103255 6814804340 10222206510 20444413020