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20532144000 = 273534110433
BaseRepresentation
bin10011000111110011…
…111010011110000000
31221222220211222120210
4103013303322132000
5314022212102000
613233215034120
71324543226064
oct230763723600
957886758523
1020532144000
118786950755
123b9020b940
131c22a05844
14dcac47aa4
15802833350
hex4c7cfa780

20532144000 has 256 divisors, whose sum is σ = 69730839360. Its totient is φ = 5341184000.

The previous prime is 20532143971. The next prime is 20532144001. The reversal of 20532144000 is 44123502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20532144001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1962784 + ... + 1973216.

Almost surely, 220532144000 is an apocalyptic number.

20532144000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20532144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34865419680).

20532144000 is an abundant number, since it is smaller than the sum of its proper divisors (49198695360).

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

20532144000 is a wasteful number, since it uses less digits than its factorization.

20532144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10506 (or 10484 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 20532144000 its reverse (44123502), we get a palindrome (20576267502).

The spelling of 20532144000 in words is "twenty billion, five hundred thirty-two million, one hundred forty-four thousand".