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5478299366400 = 2103252719317379
BaseRepresentation
bin100111110111000010000…
…0101100111010000000000
3201101201110002202102200100
41033232010011213100000
51204224024114211100
615352410155522400
71103536236203250
oct117560405472000
921351402672610
105478299366400
11182237419a823
12745893459400
133097a83c8633
1414d2188b5960
159778315c400
hex4fb84167400

5478299366400 has 3168 divisors, whose sum is σ = 25004291686400. Its totient is φ = 1117952409600.

The previous prime is 5478299366399. The next prime is 5478299366401. The reversal of 5478299366400 is 46639928745.

5478299366400 is a `hidden beast` number, since 5 + 4 + 7 + 82 + 9 + 93 + 66 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (5478299366399) and next prime (5478299366401).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5478299366401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 69345561561 + ... + 69345561639.

Almost surely, 25478299366400 is an apocalyptic number.

5478299366400 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 5478299366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12502145843200).

5478299366400 is an abundant number, since it is smaller than the sum of its proper divisors (19525992320000).

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

5478299366400 is a wasteful number, since it uses less digits than its factorization.

5478299366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 5478299366400 in words is "five trillion, four hundred seventy-eight billion, two hundred ninety-nine million, three hundred sixty-six thousand, four hundred".