Base | Representation |
---|---|
bin | 110010000001001111… |
… | …111101111110000000 |
3 | 12010122000011212000000 |
4 | 302001033331332000 |
5 | 1334443230220100 |
6 | 40401222000000 |
7 | 3610635633660 |
oct | 620117757600 |
9 | 163560155000 |
10 | 53708054400 |
11 | 20860884220 |
12 | a4aa876000 |
13 | 50ac053760 |
14 | 2856daa1a0 |
15 | 15e519c900 |
hex | c813fdf80 |
53708054400 has 2688 divisors, whose sum is σ = 278697162240. Its totient is φ = 9853747200.
The previous prime is 53708054383. The next prime is 53708054417. The reversal of 53708054400 is 445080735.
53708054400 is a `hidden beast` number, since 5 + 37 + 0 + 80 + 544 + 0 + 0 = 666.
53708054400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (53708054383) and next prime (53708054417).
It is a tau number, because it is divible by the number of its divisors (2688).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2335132789 + ... + 2335132811.
It is an arithmetic number, because the mean of its divisors is an integer number (103681980).
Almost surely, 253708054400 is an apocalyptic number.
53708054400 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 53708054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139348581120).
53708054400 is an abundant number, since it is smaller than the sum of its proper divisors (224989107840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
53708054400 is a wasteful number, since it uses less digits than its factorization.
53708054400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 96 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 67200, while the sum is 36.
The spelling of 53708054400 in words is "fifty-three billion, seven hundred eight million, fifty-four thousand, four hundred".
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