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53035430400 = 29355217259
BaseRepresentation
bin110001011001001010…
…000111001000000000
312001220010112000100000
4301121022013020000
51332104032233100
640210353200000
73555160502031
oct613112071000
9161803460300
1053035430400
1120546132917
12a341560000
1350028aaba4
1427d191aa88
1515a60d6900
hexc59287200

53035430400 has 1080 divisors, whose sum is σ = 212631859440. Its totient is φ = 13085245440.

The previous prime is 53035430369. The next prime is 53035430443. The reversal of 53035430400 is 403453035.

It is a happy number.

53035430400 is a `hidden beast` number, since 5 + 3 + 0 + 354 + 304 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 898905571 + ... + 898905629.

Almost surely, 253035430400 is an apocalyptic number.

53035430400 is a gapful number since it is divisible by the number (50) 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 53035430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106315929720).

53035430400 is an abundant number, since it is smaller than the sum of its proper divisors (159596429040).

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

53035430400 is an equidigital number, since it uses as much as digits as its factorization.

53035430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 53035430400 its reverse (403453035), we get a palindrome (53438883435).

The spelling of 53035430400 in words is "fifty-three billion, thirty-five million, four hundred thirty thousand, four hundred".