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5532023606400 = 2733523197107199
BaseRepresentation
bin101000010000000011001…
…0011010100110010000000
3201120212010020101121011000
41100200012103110302000
51211114041020401100
615433213200452000
71110450462541464
oct120400623246200
921525106347130
105532023606400
111843133119475
1275418761a000
1331188a8c8265
14151a73a964a4
1598d79955900
hex508064d4c80

5532023606400 has 1536 divisors, whose sum is σ = 21418629120000. Its totient is φ = 1392662937600.

The previous prime is 5532023606383. The next prime is 5532023606467. The reversal of 5532023606400 is 46063202355.

5532023606400 is a `hidden beast` number, since 5 + 5 + 3 + 2 + 0 + 2 + 3 + 6 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27799113501 + ... + 27799113699.

It is an arithmetic number, because the mean of its divisors is an integer number (13944420000).

Almost surely, 25532023606400 is an apocalyptic number.

5532023606400 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 5532023606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10709314560000).

5532023606400 is an abundant number, since it is smaller than the sum of its proper divisors (15886605513600).

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

5532023606400 is a wasteful number, since it uses less digits than its factorization.

5532023606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 5532023606400 its reverse (46063202355), we get a palindrome (5578086808755).

The spelling of 5532023606400 in words is "five trillion, five hundred thirty-two billion, twenty-three million, six hundred six thousand, four hundred".