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53499583200 = 25352710213119
BaseRepresentation
bin110001110100110100…
…101101101011100000
312010002110220102021110
4301310310231223200
51334031343130300
640324413423320
73602524645140
oct616464555340
9163073812243
1053499583200
1120764135778
12a450a9ab40
135077ac170b
142837420920
1515d1c1d550
hexc74d2dae0

53499583200 has 288 divisors, whose sum is σ = 199277245440. Its totient is φ = 12212582400.

The previous prime is 53499583199. The next prime is 53499583211. The reversal of 53499583200 is 238599435.

53499583200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53499583200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17151241 + ... + 17154359.

It is an arithmetic number, because the mean of its divisors is an integer number (691934880).

Almost surely, 253499583200 is an apocalyptic number.

53499583200 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 53499583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99638622720).

53499583200 is an abundant number, since it is smaller than the sum of its proper divisors (145777662240).

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

53499583200 is a wasteful number, since it uses less digits than its factorization.

53499583200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 53499583200 in words is "fifty-three billion, four hundred ninety-nine million, five hundred eighty-three thousand, two hundred".