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2553302001400 = 2352293717836673
BaseRepresentation
bin100101001001111100101…
…010001010011011111000
3100001002112000011210012121
4211021330222022123320
5313313130303021100
65232545403051024
7352320126626413
oct45117452123370
910032460153177
102553302001400
118a4938462907
12352a1b810a74
13156a10585137
148b81ab80b7a
154663d30151a
hex2527ca8a6f8

2553302001400 has 192 divisors, whose sum is σ = 6311591121600. Its totient is φ = 958769602560.

The previous prime is 2553302001379. The next prime is 2553302001401. The reversal of 2553302001400 is 41002033552.

2553302001400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25533020014002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553302001401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382628464 + ... + 382635136.

It is an arithmetic number, because the mean of its divisors is an integer number (32872870425).

Almost surely, 22553302001400 is an apocalyptic number.

2553302001400 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 2553302001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155795560800).

2553302001400 is an abundant number, since it is smaller than the sum of its proper divisors (3758289120200).

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

2553302001400 is a wasteful number, since it uses less digits than its factorization.

2553302001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538 (or 8529 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 2553302001400 its reverse (41002033552), we get a palindrome (2594304034952).

The spelling of 2553302001400 in words is "two trillion, five hundred fifty-three billion, three hundred two million, one thousand, four hundred".