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20533400400 = 2435217111167
BaseRepresentation
bin10011000111111000…
…101101001101010000
31222000000012211001010
4103013320231031100
5314023022303100
613233302010520
71324560011052
oct230770551520
958000184033
1020533400400
1187876296a7
123b90716a40
131c23055686
14dcb0938d2
158029d0750
hex4c7e2d350

20533400400 has 60 divisors (see below), whose sum is σ = 65775329792. Its totient is φ = 5475573120.

The previous prime is 20533400387. The next prime is 20533400449. The reversal of 20533400400 is 400433502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 8554384 + ... + 8556783.

Almost surely, 220533400400 is an apocalyptic number.

20533400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20533400400 is an abundant number, since it is smaller than the sum of its proper divisors (45241929392).

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

20533400400 is a wasteful number, since it uses less digits than its factorization.

20533400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17111188 (or 17111177 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 20533400400 its reverse (400433502), we get a palindrome (20933833902).

The spelling of 20533400400 in words is "twenty billion, five hundred thirty-three million, four hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17111167 34222334 51333501 68444668 85555835 102667002 136889336 171111670 205334004 256667505 273778672 342223340 410668008 427779175 513335010 684446680 821336016 855558350 1026670020 1283337525 1368893360 1711116700 2053340040 2566675050 3422233400 4106680080 5133350100 6844466800 10266700200 20533400400