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54340053600 = 2535278936343
BaseRepresentation
bin110010100110111010…
…110110101001100000
312012021001101201220210
4302212322312221200
51342242023203400
640544035534120
73632411556150
oct624672665140
9165231351823
1054340053600
11210555a8608
12a64645a340
13517cc74291
1428b6cc2760
1516308db950
hexca6eb6a60

54340053600 has 288 divisors, whose sum is σ = 204421916160. Its totient is φ = 12280688640.

The previous prime is 54340053571. The next prime is 54340053617. The reversal of 54340053600 is 635004345.

54340053600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1477029 + ... + 1513371.

It is an arithmetic number, because the mean of its divisors is an integer number (709798320).

Almost surely, 254340053600 is an apocalyptic number.

54340053600 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 54340053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102210958080).

54340053600 is an abundant number, since it is smaller than the sum of its proper divisors (150081862560).

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

54340053600 is a wasteful number, since it uses less digits than its factorization.

54340053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36462 (or 36449 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 54340053600 its reverse (635004345), we get a palindrome (54975057945).

The spelling of 54340053600 in words is "fifty-four billion, three hundred forty million, fifty-three thousand, six hundred".