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20520442400 = 255225650553
BaseRepresentation
bin10011000111000111…
…010001101000100000
31221222002211111000012
4103013013101220200
5314011213124100
613232120144052
71324341611453
oct230707215040
957862744005
1020520442400
118780289107
123b88308028
131c20469613
14dc947d49a
158017c1135
hex4c71d1a20

20520442400 has 36 divisors (see below), whose sum is σ = 50095531962. Its totient is φ = 8208176640.

The previous prime is 20520442363. The next prime is 20520442403. The reversal of 20520442400 is 424402502.

It can be written as a sum of positive squares in 3 ways, for example, as 13520108176 + 7000334224 = 116276^2 + 83668^2 .

It is not an unprimeable number, because it can be changed into a prime (20520442403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12824477 + ... + 12826076.

Almost surely, 220520442400 is an apocalyptic number.

20520442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20520442400 is an abundant number, since it is smaller than the sum of its proper divisors (29575089562).

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

20520442400 is a wasteful number, since it uses less digits than its factorization.

20520442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25650573 (or 25650560 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 20520442400 its reverse (424402502), we get a palindrome (20944844902).

The spelling of 20520442400 in words is "twenty billion, five hundred twenty million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 25650553 51301106 102602212 128252765 205204424 256505530 410408848 513011060 641263825 820817696 1026022120 1282527650 2052044240 2565055300 4104088480 5130110600 10260221200 20520442400