Search a number
-
+
5532303052800 = 212325231414723
BaseRepresentation
bin101000010000001011011…
…1101010101000000000000
3201120212211201012221112200
41100200112331111000000
51211120124040142200
615433301022153200
71110460425025146
oct120402675250000
921525751187480
105532303052800
111843266934707
12754245122800
1331190377a964
14151a9cc39596
1598d94254800
hex50816f55000

5532303052800 has 936 divisors, whose sum is σ = 20958062431488. Its totient is φ = 1392574464000.

The previous prime is 5532303052733. The next prime is 5532303052819. The reversal of 5532303052800 is 82503032355.

5532303052800 is a `hidden beast` number, since 5 + 5 + 323 + 0 + 305 + 28 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1171351239 + ... + 1171355961.

Almost surely, 25532303052800 is an apocalyptic number.

5532303052800 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 5532303052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10479031215744).

5532303052800 is an abundant number, since it is smaller than the sum of its proper divisors (15425759378688).

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

5532303052800 is a wasteful number, since it uses less digits than its factorization.

5532303052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4835 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 5532303052800 in words is "five trillion, five hundred thirty-two billion, three hundred three million, fifty-two thousand, eight hundred".