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20343043302400 = 21052713191972333
BaseRepresentation
bin1001010000000011110111…
…10111101010010000000000
32200000202221122221211222001
410220001323313222100000
510131300023041134100
6111133244242353344
74166510402001640
oct450017367522000
980022848854861
1020343043302400
116533488669525
12234675005b854
13b4745782b140
14504873c06520
152542812c5d6a
hex12807bdea400

20343043302400 has 1056 divisors, whose sum is σ = 65689143125760. Its totient is φ = 6065820794880.

The previous prime is 20343043302389. The next prime is 20343043302401. The reversal of 20343043302400 is 420334034302.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (20343043302401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8719691634 + ... + 8719693966.

It is an arithmetic number, because the mean of its divisors is an integer number (62205627960).

Almost surely, 220343043302400 is an apocalyptic number.

20343043302400 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 20343043302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32844571562880).

20343043302400 is an abundant number, since it is smaller than the sum of its proper divisors (45346099823360).

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

20343043302400 is a wasteful number, since it uses less digits than its factorization.

20343043302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 20343043302400 its reverse (420334034302), we get a palindrome (20763377336702).

The spelling of 20343043302400 in words is "twenty trillion, three hundred forty-three billion, forty-three million, three hundred two thousand, four hundred".