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20354252400 = 2433524740099
BaseRepresentation
bin10010111101001101…
…010011111001110000
31221112112010011012000
4102331031103321300
5313141142034100
613203422134000
71320253201506
oct227515237160
957475104160
1020354252400
1186a54990a9
123b40721300
131bc4bbc541
14db137c676
157e1de4900
hex4bd353e70

20354252400 has 240 divisors, whose sum is σ = 73989312000. Its totient is φ = 5312183040.

The previous prime is 20354252393. The next prime is 20354252407. The reversal of 20354252400 is 425245302.

It is a happy number.

20354252400 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 4 + 252 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (20354252393) and next prime (20354252407).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20354252407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487551 + ... + 527649.

It is an arithmetic number, because the mean of its divisors is an integer number (308288800).

Almost surely, 220354252400 is an apocalyptic number.

20354252400 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 20354252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36994656000).

20354252400 is an abundant number, since it is smaller than the sum of its proper divisors (53635059600).

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

20354252400 is a wasteful number, since it uses less digits than its factorization.

20354252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40173 (or 40156 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 20354252400 its reverse (425245302), we get a palindrome (20779497702).

The spelling of 20354252400 in words is "twenty billion, three hundred fifty-four million, two hundred fifty-two thousand, four hundred".