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20084051920 = 245464954001
BaseRepresentation
bin10010101101000110…
…100100111111010000
31220211200200112210211
4102231012210333100
5312113004130140
613120530533504
71310462424142
oct225506447720
956750615724
1020084051920
118576a18519
123a86137294
131b80c263ba
14d87524c92
157c83202ea
hex4ad1a4fd0

20084051920 has 40 divisors (see below), whose sum is σ = 46706329800. Its totient is φ = 8031744000.

The previous prime is 20084051917. The next prime is 20084051921. The reversal of 20084051920 is 2915048002.

It can be written as a sum of positive squares in 4 ways, for example, as 4467050896 + 15617001024 = 66836^2 + 124968^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20084051921) 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 7 ways as a sum of consecutive naturals, for example, 344920 + ... + 398920.

It is an arithmetic number, because the mean of its divisors is an integer number (1167658245).

Almost surely, 220084051920 is an apocalyptic number.

20084051920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20084051920 is an abundant number, since it is smaller than the sum of its proper divisors (26622277880).

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

20084051920 is a wasteful number, since it uses less digits than its factorization.

20084051920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58663 (or 58657 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 20084051920 its reverse (2915048002), we get a palindrome (22999099922).

The spelling of 20084051920 in words is "twenty billion, eighty-four million, fifty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4649 9298 18596 23245 37192 46490 54001 74384 92980 108002 185960 216004 270005 371920 432008 540010 864016 1080020 2160040 4320080 251050649 502101298 1004202596 1255253245 2008405192 2510506490 4016810384 5021012980 10042025960 20084051920