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20411440020 = 2233537798963
BaseRepresentation
bin10011000000100111…
…011101101110010100
31221200111201120212000
4103000213131232110
5313300312040040
613213223555300
71321546243326
oct230047355624
957614646760
1020411440020
1187247a8aa4
123b578bbb30
131c039c337a
14db8bc7616
157e6e3e130
hex4c09ddb94

20411440020 has 48 divisors (see below), whose sum is σ = 63502259520. Its totient is φ = 5443050528.

The previous prime is 20411440009. The next prime is 20411440039. The reversal of 20411440020 is 2004411402.

20411440020 is a `hidden beast` number, since 204 + 1 + 1 + 440 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20411439975 and 20411440002.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18898942 + ... + 18900021.

It is an arithmetic number, because the mean of its divisors is an integer number (1322963740).

Almost surely, 220411440020 is an apocalyptic number.

20411440020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20411440020 is an abundant number, since it is smaller than the sum of its proper divisors (43090819500).

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

20411440020 is a wasteful number, since it uses less digits than its factorization.

20411440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37798981 (or 37798973 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20411440020 its reverse (2004411402), we get a palindrome (22415851422).

The spelling of 20411440020 in words is "twenty billion, four hundred eleven million, four hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 37798963 75597926 113396889 151195852 188994815 226793778 340190667 377989630 453587556 566984445 680381334 755979260 1020572001 1133968890 1360762668 1700953335 2041144002 2267937780 3401906670 4082288004 5102860005 6803813340 10205720010 20411440020