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20034424400 = 245250086061
BaseRepresentation
bin10010101010001001…
…010000111001010000
31220201020022012122112
4102222021100321100
5312012303040100
613111555124452
71306320540404
oct225211207120
956636265575
1020034424400
118550a01641
123a715a3728
131b7386b6c3
14d80ac7104
157c3cbab35
hex4aa250e50

20034424400 has 30 divisors (see below), whose sum is σ = 48132705582. Its totient is φ = 8013769600.

The previous prime is 20034424369. The next prime is 20034424453. The reversal of 20034424400 is 442443002.

It can be written as a sum of positive squares in 3 ways, for example, as 722319376 + 19312105024 = 26876^2 + 138968^2 .

It is a super-2 number, since 2×200344244002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25042631 + ... + 25043430.

Almost surely, 220034424400 is an apocalyptic number.

20034424400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20034424400 is an abundant number, since it is smaller than the sum of its proper divisors (28098281182).

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

20034424400 is a wasteful number, since it uses less digits than its factorization.

20034424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50086079 (or 50086068 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 20034424400 its reverse (442443002), we get a palindrome (20476867402).

The spelling of 20034424400 in words is "twenty billion, thirty-four million, four hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 50086061 100172122 200344244 250430305 400688488 500860610 801376976 1001721220 1252151525 2003442440 2504303050 4006884880 5008606100 10017212200 20034424400